Finding the Third Proportional to 1,498.50 and 2,664

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.50 : 2,664 = 2,664 : x
2. Step 2: Convert to fraction form
   1,498.50/2,664 = 2,664/x
3. Step 3: Cross multiply
   1,498.50x = 2,664 × 2,664
4. Step 4: Simplify right side
   1,498.50x = 7,096,896
5. Step 5: Solve for x
   x = 7,096,896/1,498.50
6. Step 6: Final answer
   x = 4,736