Finding the Third Proportional to 17,764.31 and 38,216.81

Step by Step Solution

1. Step 1: Write the proportion equation
   17,764.31 : 38,216.81 = 38,216.81 : x
2. Step 2: Convert to fraction form
   17,764.31/38,216.81 = 38,216.81/x
3. Step 3: Cross multiply
   17,764.31x = 38,216.81 × 38,216.81
4. Step 4: Simplify right side
   17,764.31x = 1,460,524,757.66
5. Step 5: Solve for x
   x = 1,460,524,757.66/17,764.31
6. Step 6: Final answer
   x = 82,216.79