Finding the Third Proportional to 22,656 and 34,680

Step by Step Solution

1. Step 1: Write the proportion equation
   22,656 : 34,680 = 34,680 : x
2. Step 2: Convert to fraction form
   22,656/34,680 = 34,680/x
3. Step 3: Cross multiply
   22,656x = 34,680 × 34,680
4. Step 4: Simplify right side
   22,656x = 1,202,702,400
5. Step 5: Solve for x
   x = 1,202,702,400/22,656
6. Step 6: Final answer
   x = 53,085.38