Finding the Third Proportional to 1,645.86 and 3,548.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.86 : 3,548.80 = 3,548.80 : x
2. Step 2: Convert to fraction form
   1,645.86/3,548.80 = 3,548.80/x
3. Step 3: Cross multiply
   1,645.86x = 3,548.80 × 3,548.80
4. Step 4: Simplify right side
   1,645.86x = 12,593,999.98
5. Step 5: Solve for x
   x = 12,593,999.98/1,645.86
6. Step 6: Final answer
   x = 7,651.94