Finding the Third Proportional to 22,880 and 34,764

Step by Step Solution

1. Step 1: Write the proportion equation
   22,880 : 34,764 = 34,764 : x
2. Step 2: Convert to fraction form
   22,880/34,764 = 34,764/x
3. Step 3: Cross multiply
   22,880x = 34,764 × 34,764
4. Step 4: Simplify right side
   22,880x = 1,208,535,696
5. Step 5: Solve for x
   x = 1,208,535,696/22,880
6. Step 6: Final answer
   x = 52,820.62