Finding the Third Proportional to 2,946,168 and 4,657,824

Step by Step Solution

1. Step 1: Write the proportion equation
   2,946,168 : 4,657,824 = 4,657,824 : x
2. Step 2: Convert to fraction form
   2,946,168/4,657,824 = 4,657,824/x
3. Step 3: Cross multiply
   2,946,168x = 4,657,824 × 4,657,824
4. Step 4: Simplify right side
   2,946,168x = 21,695,324,414,976
5. Step 5: Solve for x
   x = 21,695,324,414,976/2,946,168
6. Step 6: Final answer
   x = 7,363,912.86