Finding the Third Proportional to 17,806 and 27,680

Step by Step Solution

1. Step 1: Write the proportion equation
   17,806 : 27,680 = 27,680 : x
2. Step 2: Convert to fraction form
   17,806/27,680 = 27,680/x
3. Step 3: Cross multiply
   17,806x = 27,680 × 27,680
4. Step 4: Simplify right side
   17,806x = 766,182,400
5. Step 5: Solve for x
   x = 766,182,400/17,806
6. Step 6: Final answer
   x = 43,029.45