Finding the Third Proportional to 38,782 and 58,498

Step by Step Solution

1. Step 1: Write the proportion equation
   38,782 : 58,498 = 58,498 : x
2. Step 2: Convert to fraction form
   38,782/58,498 = 58,498/x
3. Step 3: Cross multiply
   38,782x = 58,498 × 58,498
4. Step 4: Simplify right side
   38,782x = 3,422,016,004
5. Step 5: Solve for x
   x = 3,422,016,004/38,782
6. Step 6: Final answer
   x = 88,237.22