Finding the Third Proportional to 36,768 and 55,422

Step by Step Solution

1. Step 1: Write the proportion equation
   36,768 : 55,422 = 55,422 : x
2. Step 2: Convert to fraction form
   36,768/55,422 = 55,422/x
3. Step 3: Cross multiply
   36,768x = 55,422 × 55,422
4. Step 4: Simplify right side
   36,768x = 3,071,598,084
5. Step 5: Solve for x
   x = 3,071,598,084/36,768
6. Step 6: Final answer
   x = 83,539.98