Finding the Third Proportional to 12,719.25 and 25,784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,719.25 : 25,784.25 = 25,784.25 : x
2. Step 2: Convert to fraction form
   12,719.25/25,784.25 = 25,784.25/x
3. Step 3: Cross multiply
   12,719.25x = 25,784.25 × 25,784.25
4. Step 4: Simplify right side
   12,719.25x = 664,827,548.06
5. Step 5: Solve for x
   x = 664,827,548.06/12,719.25
6. Step 6: Final answer
   x = 52,269.40