Finding the Third Proportional to 12,649.50 and 21,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,649.50 : 21,964.50 = 21,964.50 : x
2. Step 2: Convert to fraction form
   12,649.50/21,964.50 = 21,964.50/x
3. Step 3: Cross multiply
   12,649.50x = 21,964.50 × 21,964.50
4. Step 4: Simplify right side
   12,649.50x = 482,439,260.25
5. Step 5: Solve for x
   x = 482,439,260.25/12,649.50
6. Step 6: Final answer
   x = 38,139.00