Finding the Third Proportional to 65,724 and 101,986

Step by Step Solution

1. Step 1: Write the proportion equation
   65,724 : 101,986 = 101,986 : x
2. Step 2: Convert to fraction form
   65,724/101,986 = 101,986/x
3. Step 3: Cross multiply
   65,724x = 101,986 × 101,986
4. Step 4: Simplify right side
   65,724x = 10,401,144,196
5. Step 5: Solve for x
   x = 10,401,144,196/65,724
6. Step 6: Final answer
   x = 158,254.89