Finding the Third Proportional to 1,536.19 and 3,608.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.19 : 3,608.06 = 3,608.06 : x
2. Step 2: Convert to fraction form
   1,536.19/3,608.06 = 3,608.06/x
3. Step 3: Cross multiply
   1,536.19x = 3,608.06 × 3,608.06
4. Step 4: Simplify right side
   1,536.19x = 13,018,115.00
5. Step 5: Solve for x
   x = 13,018,115.00/1,536.19
6. Step 6: Final answer
   x = 8,474.30