Finding the Third Proportional to 15,737 and 34,390

Step by Step Solution

1. Step 1: Write the proportion equation
   15,737 : 34,390 = 34,390 : x
2. Step 2: Convert to fraction form
   15,737/34,390 = 34,390/x
3. Step 3: Cross multiply
   15,737x = 34,390 × 34,390
4. Step 4: Simplify right side
   15,737x = 1,182,672,100
5. Step 5: Solve for x
   x = 1,182,672,100/15,737
6. Step 6: Final answer
   x = 75,152.32