Finding the Third Proportional to 12,714.38 and 19,670.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,714.38 : 19,670.63 = 19,670.63 : x
2. Step 2: Convert to fraction form
   12,714.38/19,670.63 = 19,670.63/x
3. Step 3: Cross multiply
   12,714.38x = 19,670.63 × 19,670.63
4. Step 4: Simplify right side
   12,714.38x = 386,933,487.89
5. Step 5: Solve for x
   x = 386,933,487.89/12,714.38
6. Step 6: Final answer
   x = 30,432.76