Finding the Third Proportional to 55,640 and 83,428

Step by Step Solution

1. Step 1: Write the proportion equation
   55,640 : 83,428 = 83,428 : x
2. Step 2: Convert to fraction form
   55,640/83,428 = 83,428/x
3. Step 3: Cross multiply
   55,640x = 83,428 × 83,428
4. Step 4: Simplify right side
   55,640x = 6,960,231,184
5. Step 5: Solve for x
   x = 6,960,231,184/55,640
6. Step 6: Final answer
   x = 125,094.02