Finding the Third Proportional to 1,406.74 and 2,035.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.74 : 2,035.34 = 2,035.34 : x
2. Step 2: Convert to fraction form
   1,406.74/2,035.34 = 2,035.34/x
3. Step 3: Cross multiply
   1,406.74x = 2,035.34 × 2,035.34
4. Step 4: Simplify right side
   1,406.74x = 4,142,592.38
5. Step 5: Solve for x
   x = 4,142,592.38/1,406.74
6. Step 6: Final answer
   x = 2,944.81