Finding the Third Proportional to 25,156 and 59,385

Step by Step Solution

1. Step 1: Write the proportion equation
   25,156 : 59,385 = 59,385 : x
2. Step 2: Convert to fraction form
   25,156/59,385 = 59,385/x
3. Step 3: Cross multiply
   25,156x = 59,385 × 59,385
4. Step 4: Simplify right side
   25,156x = 3,526,578,225
5. Step 5: Solve for x
   x = 3,526,578,225/25,156
6. Step 6: Final answer
   x = 140,188.35