Finding the Third Proportional to 2,512 and 3,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,512 : 3,539.50 = 3,539.50 : x
2. Step 2: Convert to fraction form
   2,512/3,539.50 = 3,539.50/x
3. Step 3: Cross multiply
   2,512x = 3,539.50 × 3,539.50
4. Step 4: Simplify right side
   2,512x = 12,528,060.25
5. Step 5: Solve for x
   x = 12,528,060.25/2,512
6. Step 6: Final answer
   x = 4,987.29