Finding the Third Proportional to 19,729.13 and 26,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,729.13 : 26,581.50 = 26,581.50 : x
2. Step 2: Convert to fraction form
   19,729.13/26,581.50 = 26,581.50/x
3. Step 3: Cross multiply
   19,729.13x = 26,581.50 × 26,581.50
4. Step 4: Simplify right side
   19,729.13x = 706,576,142.25
5. Step 5: Solve for x
   x = 706,576,142.25/19,729.13
6. Step 6: Final answer
   x = 35,813.86