Finding the Third Proportional to 1,498.50 and 3,267.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.50 : 3,267.84 = 3,267.84 : x
2. Step 2: Convert to fraction form
   1,498.50/3,267.84 = 3,267.84/x
3. Step 3: Cross multiply
   1,498.50x = 3,267.84 × 3,267.84
4. Step 4: Simplify right side
   1,498.50x = 10,678,802.77
5. Step 5: Solve for x
   x = 10,678,802.77/1,498.50
6. Step 6: Final answer
   x = 7,126.33