Finding the Third Proportional to 57,644 and 86,100

Step by Step Solution

1. Step 1: Write the proportion equation
   57,644 : 86,100 = 86,100 : x
2. Step 2: Convert to fraction form
   57,644/86,100 = 86,100/x
3. Step 3: Cross multiply
   57,644x = 86,100 × 86,100
4. Step 4: Simplify right side
   57,644x = 7,413,210,000
5. Step 5: Solve for x
   x = 7,413,210,000/57,644
6. Step 6: Final answer
   x = 128,603.32