Finding the Third Proportional to 34,772 and 71,197

Step by Step Solution

1. Step 1: Write the proportion equation
   34,772 : 71,197 = 71,197 : x
2. Step 2: Convert to fraction form
   34,772/71,197 = 71,197/x
3. Step 3: Cross multiply
   34,772x = 71,197 × 71,197
4. Step 4: Simplify right side
   34,772x = 5,069,012,809
5. Step 5: Solve for x
   x = 5,069,012,809/34,772
6. Step 6: Final answer
   x = 145,778.58