Finding the Third Proportional to 13,417.31 and 31,189.64

Step by Step Solution

1. Step 1: Write the proportion equation
   13,417.31 : 31,189.64 = 31,189.64 : x
2. Step 2: Convert to fraction form
   13,417.31/31,189.64 = 31,189.64/x
3. Step 3: Cross multiply
   13,417.31x = 31,189.64 × 31,189.64
4. Step 4: Simplify right side
   13,417.31x = 972,793,682.32
5. Step 5: Solve for x
   x = 972,793,682.32/13,417.31
6. Step 6: Final answer
   x = 72,502.87