Finding the Third Proportional to 14,641.50 and 34,548

Step by Step Solution

1. Step 1: Write the proportion equation
   14,641.50 : 34,548 = 34,548 : x
2. Step 2: Convert to fraction form
   14,641.50/34,548 = 34,548/x
3. Step 3: Cross multiply
   14,641.50x = 34,548 × 34,548
4. Step 4: Simplify right side
   14,641.50x = 1,193,564,304
5. Step 5: Solve for x
   x = 1,193,564,304/14,641.50
6. Step 6: Final answer
   x = 81,519.26