Finding the Third Proportional to 4,878,468 and 7,142,742

Step by Step Solution

1. Step 1: Write the proportion equation
   4,878,468 : 7,142,742 = 7,142,742 : x
2. Step 2: Convert to fraction form
   4,878,468/7,142,742 = 7,142,742/x
3. Step 3: Cross multiply
   4,878,468x = 7,142,742 × 7,142,742
4. Step 4: Simplify right side
   4,878,468x = 51,018,763,278,564
5. Step 5: Solve for x
   x = 51,018,763,278,564/4,878,468
6. Step 6: Final answer
   x = 10,457,947.72