Finding the Third Proportional to 38,197.97 and 83,037.09

Step by Step Solution

1. Step 1: Write the proportion equation
   38,197.97 : 83,037.09 = 83,037.09 : x
2. Step 2: Convert to fraction form
   38,197.97/83,037.09 = 83,037.09/x
3. Step 3: Cross multiply
   38,197.97x = 83,037.09 × 83,037.09
4. Step 4: Simplify right side
   38,197.97x = 6,895,158,938.45
5. Step 5: Solve for x
   x = 6,895,158,938.45/38,197.97
6. Step 6: Final answer
   x = 180,511.14