Finding the Third Proportional to 1,029.84 and 2,221.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.84 : 2,221.69 = 2,221.69 : x
2. Step 2: Convert to fraction form
   1,029.84/2,221.69 = 2,221.69/x
3. Step 3: Cross multiply
   1,029.84x = 2,221.69 × 2,221.69
4. Step 4: Simplify right side
   1,029.84x = 4,935,895.35
5. Step 5: Solve for x
   x = 4,935,895.35/1,029.84
6. Step 6: Final answer
   x = 4,792.86