Finding the Third Proportional to 1,748.81 and 3,722.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.81 : 3,722.06 = 3,722.06 : x
2. Step 2: Convert to fraction form
   1,748.81/3,722.06 = 3,722.06/x
3. Step 3: Cross multiply
   1,748.81x = 3,722.06 × 3,722.06
4. Step 4: Simplify right side
   1,748.81x = 13,853,749.25
5. Step 5: Solve for x
   x = 13,853,749.25/1,748.81
6. Step 6: Final answer
   x = 7,921.80