Finding the Third Proportional to 53,510 and 82,810

Step by Step Solution

1. Step 1: Write the proportion equation
   53,510 : 82,810 = 82,810 : x
2. Step 2: Convert to fraction form
   53,510/82,810 = 82,810/x
3. Step 3: Cross multiply
   53,510x = 82,810 × 82,810
4. Step 4: Simplify right side
   53,510x = 6,857,496,100
5. Step 5: Solve for x
   x = 6,857,496,100/53,510
6. Step 6: Final answer
   x = 128,153.54