Finding the Third Proportional to 52,838 and 71,965

Step by Step Solution

1. Step 1: Write the proportion equation
   52,838 : 71,965 = 71,965 : x
2. Step 2: Convert to fraction form
   52,838/71,965 = 71,965/x
3. Step 3: Cross multiply
   52,838x = 71,965 × 71,965
4. Step 4: Simplify right side
   52,838x = 5,178,961,225
5. Step 5: Solve for x
   x = 5,178,961,225/52,838
6. Step 6: Final answer
   x = 98,015.85