Finding the Third Proportional to 51,264 and 77,184

Step by Step Solution

1. Step 1: Write the proportion equation
   51,264 : 77,184 = 77,184 : x
2. Step 2: Convert to fraction form
   51,264/77,184 = 77,184/x
3. Step 3: Cross multiply
   51,264x = 77,184 × 77,184
4. Step 4: Simplify right side
   51,264x = 5,957,369,856
5. Step 5: Solve for x
   x = 5,957,369,856/51,264
6. Step 6: Final answer
   x = 116,209.62