Finding the Third Proportional to 1,837.69 and 3,582.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,837.69 : 3,582.98 = 3,582.98 : x
2. Step 2: Convert to fraction form
   1,837.69/3,582.98 = 3,582.98/x
3. Step 3: Cross multiply
   1,837.69x = 3,582.98 × 3,582.98
4. Step 4: Simplify right side
   1,837.69x = 12,837,777.03
5. Step 5: Solve for x
   x = 12,837,777.03/1,837.69
6. Step 6: Final answer
   x = 6,985.83