Finding the Third Proportional to 3,534.89 and 7,521.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,534.89 : 7,521.61 = 7,521.61 : x
2. Step 2: Convert to fraction form
   3,534.89/7,521.61 = 7,521.61/x
3. Step 3: Cross multiply
   3,534.89x = 7,521.61 × 7,521.61
4. Step 4: Simplify right side
   3,534.89x = 56,574,607.59
5. Step 5: Solve for x
   x = 56,574,607.59/3,534.89
6. Step 6: Final answer
   x = 16,004.63