Finding the Third Proportional to 42,427.13 and 83,782.88

Step by Step Solution

1. Step 1: Write the proportion equation
   42,427.13 : 83,782.88 = 83,782.88 : x
2. Step 2: Convert to fraction form
   42,427.13/83,782.88 = 83,782.88/x
3. Step 3: Cross multiply
   42,427.13x = 83,782.88 × 83,782.88
4. Step 4: Simplify right side
   42,427.13x = 7,019,570,143.27
5. Step 5: Solve for x
   x = 7,019,570,143.27/42,427.13
6. Step 6: Final answer
   x = 165,450.05