Finding the Third Proportional to 34,648 and 51,895

Step by Step Solution

1. Step 1: Write the proportion equation
   34,648 : 51,895 = 51,895 : x
2. Step 2: Convert to fraction form
   34,648/51,895 = 51,895/x
3. Step 3: Cross multiply
   34,648x = 51,895 × 51,895
4. Step 4: Simplify right side
   34,648x = 2,693,091,025
5. Step 5: Solve for x
   x = 2,693,091,025/34,648
6. Step 6: Final answer
   x = 77,727.17