Finding the Third Proportional to 1,498.50 and 1,902.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.50 : 1,902.66 = 1,902.66 : x
2. Step 2: Convert to fraction form
   1,498.50/1,902.66 = 1,902.66/x
3. Step 3: Cross multiply
   1,498.50x = 1,902.66 × 1,902.66
4. Step 4: Simplify right side
   1,498.50x = 3,620,100.81
5. Step 5: Solve for x
   x = 3,620,100.81/1,498.50
6. Step 6: Final answer
   x = 2,415.82