Finding the Third Proportional to 57,384 and 82,650

Step by Step Solution

1. Step 1: Write the proportion equation
   57,384 : 82,650 = 82,650 : x
2. Step 2: Convert to fraction form
   57,384/82,650 = 82,650/x
3. Step 3: Cross multiply
   57,384x = 82,650 × 82,650
4. Step 4: Simplify right side
   57,384x = 6,831,022,500
5. Step 5: Solve for x
   x = 6,831,022,500/57,384
6. Step 6: Final answer
   x = 119,040.54