Finding the Third Proportional to 6,426.19 and 14,082.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426.19 : 14,082.56 = 14,082.56 : x
2. Step 2: Convert to fraction form
   6,426.19/14,082.56 = 14,082.56/x
3. Step 3: Cross multiply
   6,426.19x = 14,082.56 × 14,082.56
4. Step 4: Simplify right side
   6,426.19x = 198,318,566.57
5. Step 5: Solve for x
   x = 198,318,566.57/6,426.19
6. Step 6: Final answer
   x = 30,861.00