Finding the Third Proportional to 13,909.50 and 21,569.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,909.50 : 21,569.63 = 21,569.63 : x
2. Step 2: Convert to fraction form
   13,909.50/21,569.63 = 21,569.63/x
3. Step 3: Cross multiply
   13,909.50x = 21,569.63 × 21,569.63
4. Step 4: Simplify right side
   13,909.50x = 465,248,722.64
5. Step 5: Solve for x
   x = 465,248,722.64/13,909.50
6. Step 6: Final answer
   x = 33,448.27