Finding the Third Proportional to 17,764 and 27,564

Step by Step Solution

1. Step 1: Write the proportion equation
   17,764 : 27,564 = 27,564 : x
2. Step 2: Convert to fraction form
   17,764/27,564 = 27,564/x
3. Step 3: Cross multiply
   17,764x = 27,564 × 27,564
4. Step 4: Simplify right side
   17,764x = 759,774,096
5. Step 5: Solve for x
   x = 759,774,096/17,764
6. Step 6: Final answer
   x = 42,770.44