Finding the Third Proportional to 21,570 and 32,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,570 : 32,221.50 = 32,221.50 : x
2. Step 2: Convert to fraction form
   21,570/32,221.50 = 32,221.50/x
3. Step 3: Cross multiply
   21,570x = 32,221.50 × 32,221.50
4. Step 4: Simplify right side
   21,570x = 1,038,225,062.25
5. Step 5: Solve for x
   x = 1,038,225,062.25/21,570
6. Step 6: Final answer
   x = 48,132.83