Finding the Third Proportional to 55,077.47 and 82,407.38

Step by Step Solution

1. Step 1: Write the proportion equation
   55,077.47 : 82,407.38 = 82,407.38 : x
2. Step 2: Convert to fraction form
   55,077.47/82,407.38 = 82,407.38/x
3. Step 3: Cross multiply
   55,077.47x = 82,407.38 × 82,407.38
4. Step 4: Simplify right side
   55,077.47x = 6,790,975,454.39
5. Step 5: Solve for x
   x = 6,790,975,454.39/55,077.47
6. Step 6: Final answer
   x = 123,298.61