Finding the Third Proportional to 17,749 and 27,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,749 : 27,586.50 = 27,586.50 : x
2. Step 2: Convert to fraction form
   17,749/27,586.50 = 27,586.50/x
3. Step 3: Cross multiply
   17,749x = 27,586.50 × 27,586.50
4. Step 4: Simplify right side
   17,749x = 761,014,982.25
5. Step 5: Solve for x
   x = 761,014,982.25/17,749
6. Step 6: Final answer
   x = 42,876.50