Finding the Third Proportional to 55,802 and 83,745

Step by Step Solution

1. Step 1: Write the proportion equation
   55,802 : 83,745 = 83,745 : x
2. Step 2: Convert to fraction form
   55,802/83,745 = 83,745/x
3. Step 3: Cross multiply
   55,802x = 83,745 × 83,745
4. Step 4: Simplify right side
   55,802x = 7,013,225,025
5. Step 5: Solve for x
   x = 7,013,225,025/55,802
6. Step 6: Final answer
   x = 125,680.53