Finding the Third Proportional to 12,900 and 19,746

Step by Step Solution

1. Step 1: Write the proportion equation
   12,900 : 19,746 = 19,746 : x
2. Step 2: Convert to fraction form
   12,900/19,746 = 19,746/x
3. Step 3: Cross multiply
   12,900x = 19,746 × 19,746
4. Step 4: Simplify right side
   12,900x = 389,904,516
5. Step 5: Solve for x
   x = 389,904,516/12,900
6. Step 6: Final answer
   x = 30,225.16