Finding the Third Proportional to 53,256.38 and 82,461.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53,256.38 : 82,461.38 = 82,461.38 : x
2. Step 2: Convert to fraction form
   53,256.38/82,461.38 = 82,461.38/x
3. Step 3: Cross multiply
   53,256.38x = 82,461.38 × 82,461.38
4. Step 4: Simplify right side
   53,256.38x = 6,799,878,366.89
5. Step 5: Solve for x
   x = 6,799,878,366.89/53,256.38
6. Step 6: Final answer
   x = 127,681.96