Finding the Third Proportional to 34,649 and 52,287

Step by Step Solution

1. Step 1: Write the proportion equation
   34,649 : 52,287 = 52,287 : x
2. Step 2: Convert to fraction form
   34,649/52,287 = 52,287/x
3. Step 3: Cross multiply
   34,649x = 52,287 × 52,287
4. Step 4: Simplify right side
   34,649x = 2,733,930,369
5. Step 5: Solve for x
   x = 2,733,930,369/34,649
6. Step 6: Final answer
   x = 78,903.59