Finding the Third Proportional to 55,008 and 84,384

Step by Step Solution

1. Step 1: Write the proportion equation
   55,008 : 84,384 = 84,384 : x
2. Step 2: Convert to fraction form
   55,008/84,384 = 84,384/x
3. Step 3: Cross multiply
   55,008x = 84,384 × 84,384
4. Step 4: Simplify right side
   55,008x = 7,120,659,456
5. Step 5: Solve for x
   x = 7,120,659,456/55,008
6. Step 6: Final answer
   x = 129,447.71