Finding the Third Proportional to 3,686,677 and 5,642,281

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686,677 : 5,642,281 = 5,642,281 : x
2. Step 2: Convert to fraction form
   3,686,677/5,642,281 = 5,642,281/x
3. Step 3: Cross multiply
   3,686,677x = 5,642,281 × 5,642,281
4. Step 4: Simplify right side
   3,686,677x = 31,835,334,882,961
5. Step 5: Solve for x
   x = 31,835,334,882,961/3,686,677
6. Step 6: Final answer
   x = 8,635,238.42