Finding the Third Proportional to 34,640 and 50,664

Step by Step Solution

1. Step 1: Write the proportion equation
   34,640 : 50,664 = 50,664 : x
2. Step 2: Convert to fraction form
   34,640/50,664 = 50,664/x
3. Step 3: Cross multiply
   34,640x = 50,664 × 50,664
4. Step 4: Simplify right side
   34,640x = 2,566,840,896
5. Step 5: Solve for x
   x = 2,566,840,896/34,640
6. Step 6: Final answer
   x = 74,100.49