Finding the Third Proportional to 21,421 and 32,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,421 : 32,005.50 = 32,005.50 : x
2. Step 2: Convert to fraction form
   21,421/32,005.50 = 32,005.50/x
3. Step 3: Cross multiply
   21,421x = 32,005.50 × 32,005.50
4. Step 4: Simplify right side
   21,421x = 1,024,352,030.25
5. Step 5: Solve for x
   x = 1,024,352,030.25/21,421
6. Step 6: Final answer
   x = 47,819.99