Finding the Third Proportional to 12,966 and 19,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,966 : 19,567.50 = 19,567.50 : x
2. Step 2: Convert to fraction form
   12,966/19,567.50 = 19,567.50/x
3. Step 3: Cross multiply
   12,966x = 19,567.50 × 19,567.50
4. Step 4: Simplify right side
   12,966x = 382,887,056.25
5. Step 5: Solve for x
   x = 382,887,056.25/12,966
6. Step 6: Final answer
   x = 29,530.08