Finding the Third Proportional to 58,494 and 91,665

Step by Step Solution

1. Step 1: Write the proportion equation
   58,494 : 91,665 = 91,665 : x
2. Step 2: Convert to fraction form
   58,494/91,665 = 91,665/x
3. Step 3: Cross multiply
   58,494x = 91,665 × 91,665
4. Step 4: Simplify right side
   58,494x = 8,402,472,225
5. Step 5: Solve for x
   x = 8,402,472,225/58,494
6. Step 6: Final answer
   x = 143,646.74