Finding the Third Proportional to 21,771.75 and 32,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,771.75 : 32,572.50 = 32,572.50 : x
2. Step 2: Convert to fraction form
   21,771.75/32,572.50 = 32,572.50/x
3. Step 3: Cross multiply
   21,771.75x = 32,572.50 × 32,572.50
4. Step 4: Simplify right side
   21,771.75x = 1,060,967,756.25
5. Step 5: Solve for x
   x = 1,060,967,756.25/21,771.75
6. Step 6: Final answer
   x = 48,731.40