Finding the Third Proportional to 7,826.20 and 12,113.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826.20 : 12,113.30 = 12,113.30 : x
2. Step 2: Convert to fraction form
   7,826.20/12,113.30 = 12,113.30/x
3. Step 3: Cross multiply
   7,826.20x = 12,113.30 × 12,113.30
4. Step 4: Simplify right side
   7,826.20x = 146,731,961.18
5. Step 5: Solve for x
   x = 146,731,961.18/7,826.20
6. Step 6: Final answer
   x = 18,748.81