Finding the Third Proportional to 55,264.50 and 87,642

Step by Step Solution

1. Step 1: Write the proportion equation
   55,264.50 : 87,642 = 87,642 : x
2. Step 2: Convert to fraction form
   55,264.50/87,642 = 87,642/x
3. Step 3: Cross multiply
   55,264.50x = 87,642 × 87,642
4. Step 4: Simplify right side
   55,264.50x = 7,681,120,164
5. Step 5: Solve for x
   x = 7,681,120,164/55,264.50
6. Step 6: Final answer
   x = 138,988.32