Finding the Third Proportional to 34,648 and 52,284

Step by Step Solution

1. Step 1: Write the proportion equation
   34,648 : 52,284 = 52,284 : x
2. Step 2: Convert to fraction form
   34,648/52,284 = 52,284/x
3. Step 3: Cross multiply
   34,648x = 52,284 × 52,284
4. Step 4: Simplify right side
   34,648x = 2,733,616,656
5. Step 5: Solve for x
   x = 2,733,616,656/34,648
6. Step 6: Final answer
   x = 78,896.81