Finding the Third Proportional to 20,412 and 31,210.31

Step by Step Solution

1. Step 1: Write the proportion equation
   20,412 : 31,210.31 = 31,210.31 : x
2. Step 2: Convert to fraction form
   20,412/31,210.31 = 31,210.31/x
3. Step 3: Cross multiply
   20,412x = 31,210.31 × 31,210.31
4. Step 4: Simplify right side
   20,412x = 974,083,606.35
5. Step 5: Solve for x
   x = 974,083,606.35/20,412
6. Step 6: Final answer
   x = 47,721.13