Finding the Third Proportional to 1,929.50 and 4,222

Step by Step Solution

1. Step 1: Write the proportion equation
   1,929.50 : 4,222 = 4,222 : x
2. Step 2: Convert to fraction form
   1,929.50/4,222 = 4,222/x
3. Step 3: Cross multiply
   1,929.50x = 4,222 × 4,222
4. Step 4: Simplify right side
   1,929.50x = 17,825,284
5. Step 5: Solve for x
   x = 17,825,284/1,929.50
6. Step 6: Final answer
   x = 9,238.29