Finding the Third Proportional to 22,758 and 34,596

Step by Step Solution

1. Step 1: Write the proportion equation
   22,758 : 34,596 = 34,596 : x
2. Step 2: Convert to fraction form
   22,758/34,596 = 34,596/x
3. Step 3: Cross multiply
   22,758x = 34,596 × 34,596
4. Step 4: Simplify right side
   22,758x = 1,196,883,216
5. Step 5: Solve for x
   x = 1,196,883,216/22,758
6. Step 6: Final answer
   x = 52,591.76