Finding the Third Proportional to 12,825.50 and 19,322.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,825.50 : 19,322.75 = 19,322.75 : x
2. Step 2: Convert to fraction form
   12,825.50/19,322.75 = 19,322.75/x
3. Step 3: Cross multiply
   12,825.50x = 19,322.75 × 19,322.75
4. Step 4: Simplify right side
   12,825.50x = 373,368,667.56
5. Step 5: Solve for x
   x = 373,368,667.56/12,825.50
6. Step 6: Final answer
   x = 29,111.43