Finding the Third Proportional to 22,596 and 34,064

Step by Step Solution

1. Step 1: Write the proportion equation
   22,596 : 34,064 = 34,064 : x
2. Step 2: Convert to fraction form
   22,596/34,064 = 34,064/x
3. Step 3: Cross multiply
   22,596x = 34,064 × 34,064
4. Step 4: Simplify right side
   22,596x = 1,160,356,096
5. Step 5: Solve for x
   x = 1,160,356,096/22,596
6. Step 6: Final answer
   x = 51,352.28