Finding the Third Proportional to 53,910 and 82,748

Step by Step Solution

1. Step 1: Write the proportion equation
   53,910 : 82,748 = 82,748 : x
2. Step 2: Convert to fraction form
   53,910/82,748 = 82,748/x
3. Step 3: Cross multiply
   53,910x = 82,748 × 82,748
4. Step 4: Simplify right side
   53,910x = 6,847,231,504
5. Step 5: Solve for x
   x = 6,847,231,504/53,910
6. Step 6: Final answer
   x = 127,012.27