Finding the Third Proportional to 38,347.25 and 82,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,347.25 : 82,025.50 = 82,025.50 : x
2. Step 2: Convert to fraction form
   38,347.25/82,025.50 = 82,025.50/x
3. Step 3: Cross multiply
   38,347.25x = 82,025.50 × 82,025.50
4. Step 4: Simplify right side
   38,347.25x = 6,728,182,650.25
5. Step 5: Solve for x
   x = 6,728,182,650.25/38,347.25
6. Step 6: Final answer
   x = 175,454.11