Finding the Third Proportional to 14,340 and 21,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,340 : 21,814.50 = 21,814.50 : x
2. Step 2: Convert to fraction form
   14,340/21,814.50 = 21,814.50/x
3. Step 3: Cross multiply
   14,340x = 21,814.50 × 21,814.50
4. Step 4: Simplify right side
   14,340x = 475,872,410.25
5. Step 5: Solve for x
   x = 475,872,410.25/14,340
6. Step 6: Final answer
   x = 33,184.97