Finding the Third Proportional to 21,421.13 and 32,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,421.13 : 32,008.50 = 32,008.50 : x
2. Step 2: Convert to fraction form
   21,421.13/32,008.50 = 32,008.50/x
3. Step 3: Cross multiply
   21,421.13x = 32,008.50 × 32,008.50
4. Step 4: Simplify right side
   21,421.13x = 1,024,544,072.25
5. Step 5: Solve for x
   x = 1,024,544,072.25/21,421.13
6. Step 6: Final answer
   x = 47,828.68