Finding the Third Proportional to 31,944 and 65,184

Step by Step Solution

1. Step 1: Write the proportion equation
   31,944 : 65,184 = 65,184 : x
2. Step 2: Convert to fraction form
   31,944/65,184 = 65,184/x
3. Step 3: Cross multiply
   31,944x = 65,184 × 65,184
4. Step 4: Simplify right side
   31,944x = 4,248,953,856
5. Step 5: Solve for x
   x = 4,248,953,856/31,944
6. Step 6: Final answer
   x = 133,012.58