Finding the Third Proportional to 1,837.69 and 2,010.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,837.69 : 2,010.45 = 2,010.45 : x
2. Step 2: Convert to fraction form
   1,837.69/2,010.45 = 2,010.45/x
3. Step 3: Cross multiply
   1,837.69x = 2,010.45 × 2,010.45
4. Step 4: Simplify right side
   1,837.69x = 4,041,890.35
5. Step 5: Solve for x
   x = 4,041,890.35/1,837.69
6. Step 6: Final answer
   x = 2,199.44