Finding the Third Proportional to 20,421 and 32,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,421 : 32,575.50 = 32,575.50 : x
2. Step 2: Convert to fraction form
   20,421/32,575.50 = 32,575.50/x
3. Step 3: Cross multiply
   20,421x = 32,575.50 × 32,575.50
4. Step 4: Simplify right side
   20,421x = 1,061,163,200.25
5. Step 5: Solve for x
   x = 1,061,163,200.25/20,421
6. Step 6: Final answer
   x = 51,964.31