Finding the Third Proportional to 65,142 and 86,049

Step by Step Solution

1. Step 1: Write the proportion equation
   65,142 : 86,049 = 86,049 : x
2. Step 2: Convert to fraction form
   65,142/86,049 = 86,049/x
3. Step 3: Cross multiply
   65,142x = 86,049 × 86,049
4. Step 4: Simplify right side
   65,142x = 7,404,430,401
5. Step 5: Solve for x
   x = 7,404,430,401/65,142
6. Step 6: Final answer
   x = 113,666.00