Finding the Third Proportional to 59,642 and 91,335

Step by Step Solution

1. Step 1: Write the proportion equation
   59,642 : 91,335 = 91,335 : x
2. Step 2: Convert to fraction form
   59,642/91,335 = 91,335/x
3. Step 3: Cross multiply
   59,642x = 91,335 × 91,335
4. Step 4: Simplify right side
   59,642x = 8,342,082,225
5. Step 5: Solve for x
   x = 8,342,082,225/59,642
6. Step 6: Final answer
   x = 139,869.26