Finding the Third Proportional to 12,964.50 and 19,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964.50 : 19,561.50 = 19,561.50 : x
2. Step 2: Convert to fraction form
   12,964.50/19,561.50 = 19,561.50/x
3. Step 3: Cross multiply
   12,964.50x = 19,561.50 × 19,561.50
4. Step 4: Simplify right side
   12,964.50x = 382,652,282.25
5. Step 5: Solve for x
   x = 382,652,282.25/12,964.50
6. Step 6: Final answer
   x = 29,515.39