Finding the Third Proportional to 13,686.50 and 21,759.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,686.50 : 21,759.75 = 21,759.75 : x
2. Step 2: Convert to fraction form
   13,686.50/21,759.75 = 21,759.75/x
3. Step 3: Cross multiply
   13,686.50x = 21,759.75 × 21,759.75
4. Step 4: Simplify right side
   13,686.50x = 473,486,720.06
5. Step 5: Solve for x
   x = 473,486,720.06/13,686.50
6. Step 6: Final answer
   x = 34,595.16