Finding the Third Proportional to 55,728 and 83,688

Step by Step Solution

1. Step 1: Write the proportion equation
   55,728 : 83,688 = 83,688 : x
2. Step 2: Convert to fraction form
   55,728/83,688 = 83,688/x
3. Step 3: Cross multiply
   55,728x = 83,688 × 83,688
4. Step 4: Simplify right side
   55,728x = 7,003,681,344
5. Step 5: Solve for x
   x = 7,003,681,344/55,728
6. Step 6: Final answer
   x = 125,676.17