Finding the Third Proportional to 34,938 and 52,508

Step by Step Solution

1. Step 1: Write the proportion equation
   34,938 : 52,508 = 52,508 : x
2. Step 2: Convert to fraction form
   34,938/52,508 = 52,508/x
3. Step 3: Cross multiply
   34,938x = 52,508 × 52,508
4. Step 4: Simplify right side
   34,938x = 2,757,090,064
5. Step 5: Solve for x
   x = 2,757,090,064/34,938
6. Step 6: Final answer
   x = 78,913.79