Finding the Third Proportional to 13,729.50 and 17,781.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.50 : 17,781.75 = 17,781.75 : x
2. Step 2: Convert to fraction form
   13,729.50/17,781.75 = 17,781.75/x
3. Step 3: Cross multiply
   13,729.50x = 17,781.75 × 17,781.75
4. Step 4: Simplify right side
   13,729.50x = 316,190,633.06
5. Step 5: Solve for x
   x = 316,190,633.06/13,729.50
6. Step 6: Final answer
   x = 23,030.02