Finding the Third Proportional to 16,159.50 and 21,822.75

Step by Step Solution

1. Step 1: Write the proportion equation
   16,159.50 : 21,822.75 = 21,822.75 : x
2. Step 2: Convert to fraction form
   16,159.50/21,822.75 = 21,822.75/x
3. Step 3: Cross multiply
   16,159.50x = 21,822.75 × 21,822.75
4. Step 4: Simplify right side
   16,159.50x = 476,232,417.56
5. Step 5: Solve for x
   x = 476,232,417.56/16,159.50
6. Step 6: Final answer
   x = 29,470.74