Finding the Third Proportional to 49,825.13 and 83,041.88

Step by Step Solution

1. Step 1: Write the proportion equation
   49,825.13 : 83,041.88 = 83,041.88 : x
2. Step 2: Convert to fraction form
   49,825.13/83,041.88 = 83,041.88/x
3. Step 3: Cross multiply
   49,825.13x = 83,041.88 × 83,041.88
4. Step 4: Simplify right side
   49,825.13x = 6,895,953,003.52
5. Step 5: Solve for x
   x = 6,895,953,003.52/49,825.13
6. Step 6: Final answer
   x = 138,403.13