Finding the Third Proportional to 14,661.50 and 34,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,661.50 : 34,575.50 = 34,575.50 : x
2. Step 2: Convert to fraction form
   14,661.50/34,575.50 = 34,575.50/x
3. Step 3: Cross multiply
   14,661.50x = 34,575.50 × 34,575.50
4. Step 4: Simplify right side
   14,661.50x = 1,195,465,200.25
5. Step 5: Solve for x
   x = 1,195,465,200.25/14,661.50
6. Step 6: Final answer
   x = 81,537.71