Finding the Third Proportional to 17,840 and 27,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,840 : 27,781.50 = 27,781.50 : x
2. Step 2: Convert to fraction form
   17,840/27,781.50 = 27,781.50/x
3. Step 3: Cross multiply
   17,840x = 27,781.50 × 27,781.50
4. Step 4: Simplify right side
   17,840x = 771,811,742.25
5. Step 5: Solve for x
   x = 771,811,742.25/17,840
6. Step 6: Final answer
   x = 43,262.99