Finding the Third Proportional to 12,314.44 and 19,502.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,314.44 : 19,502.63 = 19,502.63 : x
2. Step 2: Convert to fraction form
   12,314.44/19,502.63 = 19,502.63/x
3. Step 3: Cross multiply
   12,314.44x = 19,502.63 × 19,502.63
4. Step 4: Simplify right side
   12,314.44x = 380,352,381.89
5. Step 5: Solve for x
   x = 380,352,381.89/12,314.44
6. Step 6: Final answer
   x = 30,886.70