Finding the Third Proportional to 13,646.25 and 21,699.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,646.25 : 21,699.75 = 21,699.75 : x
2. Step 2: Convert to fraction form
   13,646.25/21,699.75 = 21,699.75/x
3. Step 3: Cross multiply
   13,646.25x = 21,699.75 × 21,699.75
4. Step 4: Simplify right side
   13,646.25x = 470,879,150.06
5. Step 5: Solve for x
   x = 470,879,150.06/13,646.25
6. Step 6: Final answer
   x = 34,506.12