Finding the Third Proportional to 2,053.50 and 2,229

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.50 : 2,229 = 2,229 : x
2. Step 2: Convert to fraction form
   2,053.50/2,229 = 2,229/x
3. Step 3: Cross multiply
   2,053.50x = 2,229 × 2,229
4. Step 4: Simplify right side
   2,053.50x = 4,968,441
5. Step 5: Solve for x
   x = 4,968,441/2,053.50
6. Step 6: Final answer
   x = 2,419.50