Finding the Third Proportional to 55,152 and 77,665

Step by Step Solution

1. Step 1: Write the proportion equation
   55,152 : 77,665 = 77,665 : x
2. Step 2: Convert to fraction form
   55,152/77,665 = 77,665/x
3. Step 3: Cross multiply
   55,152x = 77,665 × 77,665
4. Step 4: Simplify right side
   55,152x = 6,031,852,225
5. Step 5: Solve for x
   x = 6,031,852,225/55,152
6. Step 6: Final answer
   x = 109,367.79