Finding the Third Proportional to 17,818.50 and 38,424

Step by Step Solution

1. Step 1: Write the proportion equation
   17,818.50 : 38,424 = 38,424 : x
2. Step 2: Convert to fraction form
   17,818.50/38,424 = 38,424/x
3. Step 3: Cross multiply
   17,818.50x = 38,424 × 38,424
4. Step 4: Simplify right side
   17,818.50x = 1,476,403,776
5. Step 5: Solve for x
   x = 1,476,403,776/17,818.50
6. Step 6: Final answer
   x = 82,857.92