Finding the Third Proportional to 14,878.50 and 21,909.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,878.50 : 21,909.75 = 21,909.75 : x
2. Step 2: Convert to fraction form
   14,878.50/21,909.75 = 21,909.75/x
3. Step 3: Cross multiply
   14,878.50x = 21,909.75 × 21,909.75
4. Step 4: Simplify right side
   14,878.50x = 480,037,145.06
5. Step 5: Solve for x
   x = 480,037,145.06/14,878.50
6. Step 6: Final answer
   x = 32,263.81