Finding the Third Proportional to 20,032 and 31,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,032 : 31,140.50 = 31,140.50 : x
2. Step 2: Convert to fraction form
   20,032/31,140.50 = 31,140.50/x
3. Step 3: Cross multiply
   20,032x = 31,140.50 × 31,140.50
4. Step 4: Simplify right side
   20,032x = 969,730,740.25
5. Step 5: Solve for x
   x = 969,730,740.25/20,032
6. Step 6: Final answer
   x = 48,409.08