Finding the Third Proportional to 55,624 and 83,908

Step by Step Solution

1. Step 1: Write the proportion equation
   55,624 : 83,908 = 83,908 : x
2. Step 2: Convert to fraction form
   55,624/83,908 = 83,908/x
3. Step 3: Cross multiply
   55,624x = 83,908 × 83,908
4. Step 4: Simplify right side
   55,624x = 7,040,552,464
5. Step 5: Solve for x
   x = 7,040,552,464/55,624
6. Step 6: Final answer
   x = 126,574.01