Finding the Third Proportional to 35,642.25 and 55,182.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,642.25 : 55,182.38 = 55,182.38 : x
2. Step 2: Convert to fraction form
   35,642.25/55,182.38 = 55,182.38/x
3. Step 3: Cross multiply
   35,642.25x = 55,182.38 × 55,182.38
4. Step 4: Simplify right side
   35,642.25x = 3,045,094,510.64
5. Step 5: Solve for x
   x = 3,045,094,510.64/35,642.25
6. Step 6: Final answer
   x = 85,434.97