Finding the Third Proportional to 12,691.69 and 19,374.19

Step by Step Solution

1. Step 1: Write the proportion equation
   12,691.69 : 19,374.19 = 19,374.19 : x
2. Step 2: Convert to fraction form
   12,691.69/19,374.19 = 19,374.19/x
3. Step 3: Cross multiply
   12,691.69x = 19,374.19 × 19,374.19
4. Step 4: Simplify right side
   12,691.69x = 375,359,141.29
5. Step 5: Solve for x
   x = 375,359,141.29/12,691.69
6. Step 6: Final answer
   x = 29,575.20