Finding the Third Proportional to 1,914.56 and 2,709.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,914.56 : 2,709.94 = 2,709.94 : x
2. Step 2: Convert to fraction form
   1,914.56/2,709.94 = 2,709.94/x
3. Step 3: Cross multiply
   1,914.56x = 2,709.94 × 2,709.94
4. Step 4: Simplify right side
   1,914.56x = 7,343,761.25
5. Step 5: Solve for x
   x = 7,343,761.25/1,914.56
6. Step 6: Final answer
   x = 3,835.74