Finding the Third Proportional to 12,739.50 and 19,301.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,739.50 : 19,301.63 = 19,301.63 : x
2. Step 2: Convert to fraction form
   12,739.50/19,301.63 = 19,301.63/x
3. Step 3: Cross multiply
   12,739.50x = 19,301.63 × 19,301.63
4. Step 4: Simplify right side
   12,739.50x = 372,552,727.64
5. Step 5: Solve for x
   x = 372,552,727.64/12,739.50
6. Step 6: Final answer
   x = 29,243.90