Finding the Third Proportional to 17,824.31 and 38,727.94

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824.31 : 38,727.94 = 38,727.94 : x
2. Step 2: Convert to fraction form
   17,824.31/38,727.94 = 38,727.94/x
3. Step 3: Cross multiply
   17,824.31x = 38,727.94 × 38,727.94
4. Step 4: Simplify right side
   17,824.31x = 1,499,853,143.00
5. Step 5: Solve for x
   x = 1,499,853,143.00/17,824.31
6. Step 6: Final answer
   x = 84,146.48