Finding the Third Proportional to 20,165 and 32,030.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,165 : 32,030.50 = 32,030.50 : x
2. Step 2: Convert to fraction form
   20,165/32,030.50 = 32,030.50/x
3. Step 3: Cross multiply
   20,165x = 32,030.50 × 32,030.50
4. Step 4: Simplify right side
   20,165x = 1,025,952,930.25
5. Step 5: Solve for x
   x = 1,025,952,930.25/20,165
6. Step 6: Final answer
   x = 50,877.90