Finding the Third Proportional to 38,147.63 and 82,862.58

Step by Step Solution

1. Step 1: Write the proportion equation
   38,147.63 : 82,862.58 = 82,862.58 : x
2. Step 2: Convert to fraction form
   38,147.63/82,862.58 = 82,862.58/x
3. Step 3: Cross multiply
   38,147.63x = 82,862.58 × 82,862.58
4. Step 4: Simplify right side
   38,147.63x = 6,866,206,853.52
5. Step 5: Solve for x
   x = 6,866,206,853.52/38,147.63
6. Step 6: Final answer
   x = 179,990.41