Finding the Third Proportional to 34,768 and 71,916

Step by Step Solution

1. Step 1: Write the proportion equation
   34,768 : 71,916 = 71,916 : x
2. Step 2: Convert to fraction form
   34,768/71,916 = 71,916/x
3. Step 3: Cross multiply
   34,768x = 71,916 × 71,916
4. Step 4: Simplify right side
   34,768x = 5,171,911,056
5. Step 5: Solve for x
   x = 5,171,911,056/34,768
6. Step 6: Final answer
   x = 148,754.92