Finding the Third Proportional to 39,401 and 59,102

Step by Step Solution

1. Step 1: Write the proportion equation
   39,401 : 59,102 = 59,102 : x
2. Step 2: Convert to fraction form
   39,401/59,102 = 59,102/x
3. Step 3: Cross multiply
   39,401x = 59,102 × 59,102
4. Step 4: Simplify right side
   39,401x = 3,493,046,404
5. Step 5: Solve for x
   x = 3,493,046,404/39,401
6. Step 6: Final answer
   x = 88,653.75