Finding the Third Proportional to 12,741.75 and 19,478.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,741.75 : 19,478.63 = 19,478.63 : x
2. Step 2: Convert to fraction form
   12,741.75/19,478.63 = 19,478.63/x
3. Step 3: Cross multiply
   12,741.75x = 19,478.63 × 19,478.63
4. Step 4: Simplify right side
   12,741.75x = 379,416,831.89
5. Step 5: Solve for x
   x = 379,416,831.89/12,741.75
6. Step 6: Final answer
   x = 29,777.45