Finding the Third Proportional to 42,426.38 and 83,782.31

Step by Step Solution

1. Step 1: Write the proportion equation
   42,426.38 : 83,782.31 = 83,782.31 : x
2. Step 2: Convert to fraction form
   42,426.38/83,782.31 = 83,782.31/x
3. Step 3: Cross multiply
   42,426.38x = 83,782.31 × 83,782.31
4. Step 4: Simplify right side
   42,426.38x = 7,019,475,887.85
5. Step 5: Solve for x
   x = 7,019,475,887.85/42,426.38
6. Step 6: Final answer
   x = 165,450.76