Finding the Third Proportional to 2,378,862 and 3,830,322

Step by Step Solution

1. Step 1: Write the proportion equation
   2,378,862 : 3,830,322 = 3,830,322 : x
2. Step 2: Convert to fraction form
   2,378,862/3,830,322 = 3,830,322/x
3. Step 3: Cross multiply
   2,378,862x = 3,830,322 × 3,830,322
4. Step 4: Simplify right side
   2,378,862x = 14,671,366,623,684
5. Step 5: Solve for x
   x = 14,671,366,623,684/2,378,862
6. Step 6: Final answer
   x = 6,167,388.70