Finding the Third Proportional to 1,614.50 and 3,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,614.50 : 3,536.50 = 3,536.50 : x
2. Step 2: Convert to fraction form
   1,614.50/3,536.50 = 3,536.50/x
3. Step 3: Cross multiply
   1,614.50x = 3,536.50 × 3,536.50
4. Step 4: Simplify right side
   1,614.50x = 12,506,832.25
5. Step 5: Solve for x
   x = 12,506,832.25/1,614.50
6. Step 6: Final answer
   x = 7,746.57