Finding the Third Proportional to 38,117 and 59,252

Step by Step Solution

1. Step 1: Write the proportion equation
   38,117 : 59,252 = 59,252 : x
2. Step 2: Convert to fraction form
   38,117/59,252 = 59,252/x
3. Step 3: Cross multiply
   38,117x = 59,252 × 59,252
4. Step 4: Simplify right side
   38,117x = 3,510,799,504
5. Step 5: Solve for x
   x = 3,510,799,504/38,117
6. Step 6: Final answer
   x = 92,105.87