Finding the Third Proportional to 1,625.06 and 3,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,625.06 : 3,523.50 = 3,523.50 : x
2. Step 2: Convert to fraction form
   1,625.06/3,523.50 = 3,523.50/x
3. Step 3: Cross multiply
   1,625.06x = 3,523.50 × 3,523.50
4. Step 4: Simplify right side
   1,625.06x = 12,415,052.25
5. Step 5: Solve for x
   x = 12,415,052.25/1,625.06
6. Step 6: Final answer
   x = 7,639.74