Finding the Third Proportional to 17,916 and 27,680

Step by Step Solution

1. Step 1: Write the proportion equation
   17,916 : 27,680 = 27,680 : x
2. Step 2: Convert to fraction form
   17,916/27,680 = 27,680/x
3. Step 3: Cross multiply
   17,916x = 27,680 × 27,680
4. Step 4: Simplify right side
   17,916x = 766,182,400
5. Step 5: Solve for x
   x = 766,182,400/17,916
6. Step 6: Final answer
   x = 42,765.26