Finding the Third Proportional to 55,644 and 85,308.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,644 : 85,308.75 = 85,308.75 : x
2. Step 2: Convert to fraction form
   55,644/85,308.75 = 85,308.75/x
3. Step 3: Cross multiply
   55,644x = 85,308.75 × 85,308.75
4. Step 4: Simplify right side
   55,644x = 7,277,582,826.56
5. Step 5: Solve for x
   x = 7,277,582,826.56/55,644
6. Step 6: Final answer
   x = 130,788.28