Finding the Third Proportional to 1,625.48 and 3,527.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,625.48 : 3,527.72 = 3,527.72 : x
2. Step 2: Convert to fraction form
   1,625.48/3,527.72 = 3,527.72/x
3. Step 3: Cross multiply
   1,625.48x = 3,527.72 × 3,527.72
4. Step 4: Simplify right side
   1,625.48x = 12,444,799.58
5. Step 5: Solve for x
   x = 12,444,799.58/1,625.48
6. Step 6: Final answer
   x = 7,656.06