Finding the Third Proportional to 706.22 and 1,837.69

Step by Step Solution

1. Step 1: Write the proportion equation
   706.22 : 1,837.69 = 1,837.69 : x
2. Step 2: Convert to fraction form
   706.22/1,837.69 = 1,837.69/x
3. Step 3: Cross multiply
   706.22x = 1,837.69 × 1,837.69
4. Step 4: Simplify right side
   706.22x = 3,377,095.35
5. Step 5: Solve for x
   x = 3,377,095.35/706.22
6. Step 6: Final answer
   x = 4,781.94