Finding the Third Proportional to 38,402 and 59,601

Step by Step Solution

1. Step 1: Write the proportion equation
   38,402 : 59,601 = 59,601 : x
2. Step 2: Convert to fraction form
   38,402/59,601 = 59,601/x
3. Step 3: Cross multiply
   38,402x = 59,601 × 59,601
4. Step 4: Simplify right side
   38,402x = 3,552,279,201
5. Step 5: Solve for x
   x = 3,552,279,201/38,402
6. Step 6: Final answer
   x = 92,502.45