Finding the Third Proportional to 53,494 and 82,786

Step by Step Solution

1. Step 1: Write the proportion equation
   53,494 : 82,786 = 82,786 : x
2. Step 2: Convert to fraction form
   53,494/82,786 = 82,786/x
3. Step 3: Cross multiply
   53,494x = 82,786 × 82,786
4. Step 4: Simplify right side
   53,494x = 6,853,521,796
5. Step 5: Solve for x
   x = 6,853,521,796/53,494
6. Step 6: Final answer
   x = 128,117.58