Finding the Third Proportional to 48,464 and 71,096

Step by Step Solution

1. Step 1: Write the proportion equation
   48,464 : 71,096 = 71,096 : x
2. Step 2: Convert to fraction form
   48,464/71,096 = 71,096/x
3. Step 3: Cross multiply
   48,464x = 71,096 × 71,096
4. Step 4: Simplify right side
   48,464x = 5,054,641,216
5. Step 5: Solve for x
   x = 5,054,641,216/48,464
6. Step 6: Final answer
   x = 104,296.82