Finding the Third Proportional to 53,200 and 82,320

Step by Step Solution

1. Step 1: Write the proportion equation
   53,200 : 82,320 = 82,320 : x
2. Step 2: Convert to fraction form
   53,200/82,320 = 82,320/x
3. Step 3: Cross multiply
   53,200x = 82,320 × 82,320
4. Step 4: Simplify right side
   53,200x = 6,776,582,400
5. Step 5: Solve for x
   x = 6,776,582,400/53,200
6. Step 6: Final answer
   x = 127,379.37