Finding the Third Proportional to 55,665 and 86,089

Step by Step Solution

1. Step 1: Write the proportion equation
   55,665 : 86,089 = 86,089 : x
2. Step 2: Convert to fraction form
   55,665/86,089 = 86,089/x
3. Step 3: Cross multiply
   55,665x = 86,089 × 86,089
4. Step 4: Simplify right side
   55,665x = 7,411,315,921
5. Step 5: Solve for x
   x = 7,411,315,921/55,665
6. Step 6: Final answer
   x = 133,141.40