Finding the Third Proportional to 39,780.56 and 83,651.06

Step by Step Solution

1. Step 1: Write the proportion equation
   39,780.56 : 83,651.06 = 83,651.06 : x
2. Step 2: Convert to fraction form
   39,780.56/83,651.06 = 83,651.06/x
3. Step 3: Cross multiply
   39,780.56x = 83,651.06 × 83,651.06
4. Step 4: Simplify right side
   39,780.56x = 6,997,500,257.38
5. Step 5: Solve for x
   x = 6,997,500,257.38/39,780.56
6. Step 6: Final answer
   x = 175,902.50