Finding the Third Proportional to 65,760 and 101,184

Step by Step Solution

1. Step 1: Write the proportion equation
   65,760 : 101,184 = 101,184 : x
2. Step 2: Convert to fraction form
   65,760/101,184 = 101,184/x
3. Step 3: Cross multiply
   65,760x = 101,184 × 101,184
4. Step 4: Simplify right side
   65,760x = 10,238,201,856
5. Step 5: Solve for x
   x = 10,238,201,856/65,760
6. Step 6: Final answer
   x = 155,690.42