Finding the Third Proportional to 20,432 and 31,242.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,432 : 31,242.25 = 31,242.25 : x
2. Step 2: Convert to fraction form
   20,432/31,242.25 = 31,242.25/x
3. Step 3: Cross multiply
   20,432x = 31,242.25 × 31,242.25
4. Step 4: Simplify right side
   20,432x = 976,078,185.06
5. Step 5: Solve for x
   x = 976,078,185.06/20,432
6. Step 6: Final answer
   x = 47,772.03