Finding the Third Proportional to 55,128 and 87,410

Step by Step Solution

1. Step 1: Write the proportion equation
   55,128 : 87,410 = 87,410 : x
2. Step 2: Convert to fraction form
   55,128/87,410 = 87,410/x
3. Step 3: Cross multiply
   55,128x = 87,410 × 87,410
4. Step 4: Simplify right side
   55,128x = 7,640,508,100
5. Step 5: Solve for x
   x = 7,640,508,100/55,128
6. Step 6: Final answer
   x = 138,595.78