Finding the Third Proportional to 1,202.34 and 1,837.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,202.34 : 1,837.69 = 1,837.69 : x
2. Step 2: Convert to fraction form
   1,202.34/1,837.69 = 1,837.69/x
3. Step 3: Cross multiply
   1,202.34x = 1,837.69 × 1,837.69
4. Step 4: Simplify right side
   1,202.34x = 3,377,095.35
5. Step 5: Solve for x
   x = 3,377,095.35/1,202.34
6. Step 6: Final answer
   x = 2,808.76