Finding the Third Proportional to 1,905.75 and 3,614.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,905.75 : 3,614.06 = 3,614.06 : x
2. Step 2: Convert to fraction form
   1,905.75/3,614.06 = 3,614.06/x
3. Step 3: Cross multiply
   1,905.75x = 3,614.06 × 3,614.06
4. Step 4: Simplify right side
   1,905.75x = 13,061,447.75
5. Step 5: Solve for x
   x = 13,061,447.75/1,905.75
6. Step 6: Final answer
   x = 6,853.70