Finding the Third Proportional to 12,712.50 and 19,734.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,712.50 : 19,734.75 = 19,734.75 : x
2. Step 2: Convert to fraction form
   12,712.50/19,734.75 = 19,734.75/x
3. Step 3: Cross multiply
   12,712.50x = 19,734.75 × 19,734.75
4. Step 4: Simplify right side
   12,712.50x = 389,460,357.56
5. Step 5: Solve for x
   x = 389,460,357.56/12,712.50
6. Step 6: Final answer
   x = 30,636.02