Finding the Third Proportional to 49,822.59 and 83,037.66

Step by Step Solution

1. Step 1: Write the proportion equation
   49,822.59 : 83,037.66 = 83,037.66 : x
2. Step 2: Convert to fraction form
   49,822.59/83,037.66 = 83,037.66/x
3. Step 3: Cross multiply
   49,822.59x = 83,037.66 × 83,037.66
4. Step 4: Simplify right side
   49,822.59x = 6,895,252,355.49
5. Step 5: Solve for x
   x = 6,895,252,355.49/49,822.59
6. Step 6: Final answer
   x = 138,396.09