Finding the Third Proportional to 17,876 and 27,774

Step by Step Solution

1. Step 1: Write the proportion equation
   17,876 : 27,774 = 27,774 : x
2. Step 2: Convert to fraction form
   17,876/27,774 = 27,774/x
3. Step 3: Cross multiply
   17,876x = 27,774 × 27,774
4. Step 4: Simplify right side
   17,876x = 771,395,076
5. Step 5: Solve for x
   x = 771,395,076/17,876
6. Step 6: Final answer
   x = 43,152.56