Finding the Third Proportional to 2,897,959 and 4,506,461

Step by Step Solution

1. Step 1: Write the proportion equation
   2,897,959 : 4,506,461 = 4,506,461 : x
2. Step 2: Convert to fraction form
   2,897,959/4,506,461 = 4,506,461/x
3. Step 3: Cross multiply
   2,897,959x = 4,506,461 × 4,506,461
4. Step 4: Simplify right side
   2,897,959x = 20,308,190,744,521
5. Step 5: Solve for x
   x = 20,308,190,744,521/2,897,959
6. Step 6: Final answer
   x = 7,007,756.41