Finding the Third Proportional to 21,561.50 and 32,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,561.50 : 32,209.50 = 32,209.50 : x
2. Step 2: Convert to fraction form
   21,561.50/32,209.50 = 32,209.50/x
3. Step 3: Cross multiply
   21,561.50x = 32,209.50 × 32,209.50
4. Step 4: Simplify right side
   21,561.50x = 1,037,451,890.25
5. Step 5: Solve for x
   x = 1,037,451,890.25/21,561.50
6. Step 6: Final answer
   x = 48,115.94