Finding the Third Proportional to 12,964.50 and 21,309.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964.50 : 21,309.75 = 21,309.75 : x
2. Step 2: Convert to fraction form
   12,964.50/21,309.75 = 21,309.75/x
3. Step 3: Cross multiply
   12,964.50x = 21,309.75 × 21,309.75
4. Step 4: Simplify right side
   12,964.50x = 454,105,445.06
5. Step 5: Solve for x
   x = 454,105,445.06/12,964.50
6. Step 6: Final answer
   x = 35,026.84