Finding the Third Proportional to 27,649 and 42,522

Step by Step Solution

1. Step 1: Write the proportion equation
   27,649 : 42,522 = 42,522 : x
2. Step 2: Convert to fraction form
   27,649/42,522 = 42,522/x
3. Step 3: Cross multiply
   27,649x = 42,522 × 42,522
4. Step 4: Simplify right side
   27,649x = 1,808,120,484
5. Step 5: Solve for x
   x = 1,808,120,484/27,649
6. Step 6: Final answer
   x = 65,395.51