Finding the Third Proportional to 55,646 and 86,217.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,646 : 86,217.75 = 86,217.75 : x
2. Step 2: Convert to fraction form
   55,646/86,217.75 = 86,217.75/x
3. Step 3: Cross multiply
   55,646x = 86,217.75 × 86,217.75
4. Step 4: Simplify right side
   55,646x = 7,433,500,415.06
5. Step 5: Solve for x
   x = 7,433,500,415.06/55,646
6. Step 6: Final answer
   x = 133,585.53