Finding the Third Proportional to 17,741 and 27,584

Step by Step Solution

1. Step 1: Write the proportion equation
   17,741 : 27,584 = 27,584 : x
2. Step 2: Convert to fraction form
   17,741/27,584 = 27,584/x
3. Step 3: Cross multiply
   17,741x = 27,584 × 27,584
4. Step 4: Simplify right side
   17,741x = 760,877,056
5. Step 5: Solve for x
   x = 760,877,056/17,741
6. Step 6: Final answer
   x = 42,888.06