Finding the Third Proportional to 2,374,233 and 3,678,633

Step by Step Solution

1. Step 1: Write the proportion equation
   2,374,233 : 3,678,633 = 3,678,633 : x
2. Step 2: Convert to fraction form
   2,374,233/3,678,633 = 3,678,633/x
3. Step 3: Cross multiply
   2,374,233x = 3,678,633 × 3,678,633
4. Step 4: Simplify right side
   2,374,233x = 13,532,340,748,689
5. Step 5: Solve for x
   x = 13,532,340,748,689/2,374,233
6. Step 6: Final answer
   x = 5,699,668.38