Finding the Third Proportional to 34,535 and 50,665

Step by Step Solution

1. Step 1: Write the proportion equation
   34,535 : 50,665 = 50,665 : x
2. Step 2: Convert to fraction form
   34,535/50,665 = 50,665/x
3. Step 3: Cross multiply
   34,535x = 50,665 × 50,665
4. Step 4: Simplify right side
   34,535x = 2,566,942,225
5. Step 5: Solve for x
   x = 2,566,942,225/34,535
6. Step 6: Final answer
   x = 74,328.72