Finding the Third Proportional to 8,214.38 and 17,864.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,214.38 : 17,864.63 = 17,864.63 : x
2. Step 2: Convert to fraction form
   8,214.38/17,864.63 = 17,864.63/x
3. Step 3: Cross multiply
   8,214.38x = 17,864.63 × 17,864.63
4. Step 4: Simplify right side
   8,214.38x = 319,144,826.39
5. Step 5: Solve for x
   x = 319,144,826.39/8,214.38
6. Step 6: Final answer
   x = 38,851.99