Finding the Third Proportional to 34,880 and 52,648

Step by Step Solution

1. Step 1: Write the proportion equation
   34,880 : 52,648 = 52,648 : x
2. Step 2: Convert to fraction form
   34,880/52,648 = 52,648/x
3. Step 3: Cross multiply
   34,880x = 52,648 × 52,648
4. Step 4: Simplify right side
   34,880x = 2,771,811,904
5. Step 5: Solve for x
   x = 2,771,811,904/34,880
6. Step 6: Final answer
   x = 79,467.08