Finding the Third Proportional to 42,425.44 and 83,780.06

Step by Step Solution

1. Step 1: Write the proportion equation
   42,425.44 : 83,780.06 = 83,780.06 : x
2. Step 2: Convert to fraction form
   42,425.44/83,780.06 = 83,780.06/x
3. Step 3: Cross multiply
   42,425.44x = 83,780.06 × 83,780.06
4. Step 4: Simplify right side
   42,425.44x = 7,019,098,872.50
5. Step 5: Solve for x
   x = 7,019,098,872.50/42,425.44
6. Step 6: Final answer
   x = 165,445.53