Finding the Third Proportional to 55,292 and 75,662

Step by Step Solution

1. Step 1: Write the proportion equation
   55,292 : 75,662 = 75,662 : x
2. Step 2: Convert to fraction form
   55,292/75,662 = 75,662/x
3. Step 3: Cross multiply
   55,292x = 75,662 × 75,662
4. Step 4: Simplify right side
   55,292x = 5,724,738,244
5. Step 5: Solve for x
   x = 5,724,738,244/55,292
6. Step 6: Final answer
   x = 103,536.47