Finding the Third Proportional to 22,658 and 34,371

Step by Step Solution

1. Step 1: Write the proportion equation
   22,658 : 34,371 = 34,371 : x
2. Step 2: Convert to fraction form
   22,658/34,371 = 34,371/x
3. Step 3: Cross multiply
   22,658x = 34,371 × 34,371
4. Step 4: Simplify right side
   22,658x = 1,181,365,641
5. Step 5: Solve for x
   x = 1,181,365,641/22,658
6. Step 6: Final answer
   x = 52,139.01