Finding the Third Proportional to 2,046 and 2,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046 : 2,221.50 = 2,221.50 : x
2. Step 2: Convert to fraction form
   2,046/2,221.50 = 2,221.50/x
3. Step 3: Cross multiply
   2,046x = 2,221.50 × 2,221.50
4. Step 4: Simplify right side
   2,046x = 4,935,062.25
5. Step 5: Solve for x
   x = 4,935,062.25/2,046
6. Step 6: Final answer
   x = 2,412.05