Finding the Third Proportional to 1,664.25 and 3,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,664.25 : 3,562.50 = 3,562.50 : x
2. Step 2: Convert to fraction form
   1,664.25/3,562.50 = 3,562.50/x
3. Step 3: Cross multiply
   1,664.25x = 3,562.50 × 3,562.50
4. Step 4: Simplify right side
   1,664.25x = 12,691,406.25
5. Step 5: Solve for x
   x = 12,691,406.25/1,664.25
6. Step 6: Final answer
   x = 7,625.90