Finding the Third Proportional to 55,792 and 83,832

Step by Step Solution

1. Step 1: Write the proportion equation
   55,792 : 83,832 = 83,832 : x
2. Step 2: Convert to fraction form
   55,792/83,832 = 83,832/x
3. Step 3: Cross multiply
   55,792x = 83,832 × 83,832
4. Step 4: Simplify right side
   55,792x = 7,027,804,224
5. Step 5: Solve for x
   x = 7,027,804,224/55,792
6. Step 6: Final answer
   x = 125,964.37