Finding the Third Proportional to 22,852 and 34,566

Step by Step Solution

1. Step 1: Write the proportion equation
   22,852 : 34,566 = 34,566 : x
2. Step 2: Convert to fraction form
   22,852/34,566 = 34,566/x
3. Step 3: Cross multiply
   22,852x = 34,566 × 34,566
4. Step 4: Simplify right side
   22,852x = 1,194,808,356
5. Step 5: Solve for x
   x = 1,194,808,356/22,852
6. Step 6: Final answer
   x = 52,284.63