Finding the Third Proportional to 59,731 and 91,677

Step by Step Solution

1. Step 1: Write the proportion equation
   59,731 : 91,677 = 91,677 : x
2. Step 2: Convert to fraction form
   59,731/91,677 = 91,677/x
3. Step 3: Cross multiply
   59,731x = 91,677 × 91,677
4. Step 4: Simplify right side
   59,731x = 8,404,672,329
5. Step 5: Solve for x
   x = 8,404,672,329/59,731
6. Step 6: Final answer
   x = 140,708.72