Finding the Third Proportional to 55,638 and 83,952

Step by Step Solution

1. Step 1: Write the proportion equation
   55,638 : 83,952 = 83,952 : x
2. Step 2: Convert to fraction form
   55,638/83,952 = 83,952/x
3. Step 3: Cross multiply
   55,638x = 83,952 × 83,952
4. Step 4: Simplify right side
   55,638x = 7,047,938,304
5. Step 5: Solve for x
   x = 7,047,938,304/55,638
6. Step 6: Final answer
   x = 126,674.90