Finding the Third Proportional to 13,866.64 and 21,894.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,866.64 : 21,894.69 = 21,894.69 : x
2. Step 2: Convert to fraction form
   13,866.64/21,894.69 = 21,894.69/x
3. Step 3: Cross multiply
   13,866.64x = 21,894.69 × 21,894.69
4. Step 4: Simplify right side
   13,866.64x = 479,377,648.08
5. Step 5: Solve for x
   x = 479,377,648.08/13,866.64
6. Step 6: Final answer
   x = 34,570.57