Finding the Third Proportional to 17,766 and 27,714

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 27,714 = 27,714 : x
2. Step 2: Convert to fraction form
   17,766/27,714 = 27,714/x
3. Step 3: Cross multiply
   17,766x = 27,714 × 27,714
4. Step 4: Simplify right side
   17,766x = 768,065,796
5. Step 5: Solve for x
   x = 768,065,796/17,766
6. Step 6: Final answer
   x = 43,232.34