Finding the Third Proportional to 13,066 and 19,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,066 : 19,872.50 = 19,872.50 : x
2. Step 2: Convert to fraction form
   13,066/19,872.50 = 19,872.50/x
3. Step 3: Cross multiply
   13,066x = 19,872.50 × 19,872.50
4. Step 4: Simplify right side
   13,066x = 394,916,256.25
5. Step 5: Solve for x
   x = 394,916,256.25/13,066
6. Step 6: Final answer
   x = 30,224.72