Finding the Third Proportional to 14,686.50 and 32,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,686.50 : 32,642.50 = 32,642.50 : x
2. Step 2: Convert to fraction form
   14,686.50/32,642.50 = 32,642.50/x
3. Step 3: Cross multiply
   14,686.50x = 32,642.50 × 32,642.50
4. Step 4: Simplify right side
   14,686.50x = 1,065,532,806.25
5. Step 5: Solve for x
   x = 1,065,532,806.25/14,686.50
6. Step 6: Final answer
   x = 72,551.85