Finding the Third Proportional to 1,721.63 and 3,764.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,721.63 : 3,764.06 = 3,764.06 : x
2. Step 2: Convert to fraction form
   1,721.63/3,764.06 = 3,764.06/x
3. Step 3: Cross multiply
   1,721.63x = 3,764.06 × 3,764.06
4. Step 4: Simplify right side
   1,721.63x = 14,168,166.50
5. Step 5: Solve for x
   x = 14,168,166.50/1,721.63
6. Step 6: Final answer
   x = 8,229.53