Finding the Third Proportional to 13,300 and 31,376

Step by Step Solution

1. Step 1: Write the proportion equation
   13,300 : 31,376 = 31,376 : x
2. Step 2: Convert to fraction form
   13,300/31,376 = 31,376/x
3. Step 3: Cross multiply
   13,300x = 31,376 × 31,376
4. Step 4: Simplify right side
   13,300x = 984,453,376
5. Step 5: Solve for x
   x = 984,453,376/13,300
6. Step 6: Final answer
   x = 74,019.05