Finding the Third Proportional to 13,729.50 and 21,899.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.50 : 21,899.25 = 21,899.25 : x
2. Step 2: Convert to fraction form
   13,729.50/21,899.25 = 21,899.25/x
3. Step 3: Cross multiply
   13,729.50x = 21,899.25 × 21,899.25
4. Step 4: Simplify right side
   13,729.50x = 479,577,150.56
5. Step 5: Solve for x
   x = 479,577,150.56/13,729.50
6. Step 6: Final answer
   x = 34,930.42