Finding the Third Proportional to 12,502.69 and 19,346.34

Step by Step Solution

1. Step 1: Write the proportion equation
   12,502.69 : 19,346.34 = 19,346.34 : x
2. Step 2: Convert to fraction form
   12,502.69/19,346.34 = 19,346.34/x
3. Step 3: Cross multiply
   12,502.69x = 19,346.34 × 19,346.34
4. Step 4: Simplify right side
   12,502.69x = 374,281,016.49
5. Step 5: Solve for x
   x = 374,281,016.49/12,502.69
6. Step 6: Final answer
   x = 29,936.05