Finding the Third Proportional to 1,572.56 and 3,425.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,572.56 : 3,425.81 = 3,425.81 : x
2. Step 2: Convert to fraction form
   1,572.56/3,425.81 = 3,425.81/x
3. Step 3: Cross multiply
   1,572.56x = 3,425.81 × 3,425.81
4. Step 4: Simplify right side
   1,572.56x = 11,736,191.29
5. Step 5: Solve for x
   x = 11,736,191.29/1,572.56
6. Step 6: Final answer
   x = 7,463.10