Finding the Third Proportional to 20,409.38 and 31,222.13

Step by Step Solution

1. Step 1: Write the proportion equation
   20,409.38 : 31,222.13 = 31,222.13 : x
2. Step 2: Convert to fraction form
   20,409.38/31,222.13 = 31,222.13/x
3. Step 3: Cross multiply
   20,409.38x = 31,222.13 × 31,222.13
4. Step 4: Simplify right side
   20,409.38x = 974,821,089.52
5. Step 5: Solve for x
   x = 974,821,089.52/20,409.38
6. Step 6: Final answer
   x = 47,763.40