Finding the Third Proportional to 13,288,099,314 and 31,367,828,667

Step by Step Solution

1. Step 1: Write the proportion equation
   13,288,099,314 : 31,367,828,667 = 31,367,828,667 : x
2. Step 2: Convert to fraction form
   13,288,099,314/31,367,828,667 = 31,367,828,667/x
3. Step 3: Cross multiply
   13,288,099,314x = 31,367,828,667 × 31,367,828,667
4. Step 4: Simplify right side
   13,288,099,314x = 983,940,675,282,267,013,120
5. Step 5: Solve for x
   x = 983,940,675,282,267,013,120/13,288,099,314
6. Step 6: Final answer
   x = 74,046,758,082.67