Finding the Third Proportional to 34,680 and 71,296

Step by Step Solution

1. Step 1: Write the proportion equation
   34,680 : 71,296 = 71,296 : x
2. Step 2: Convert to fraction form
   34,680/71,296 = 71,296/x
3. Step 3: Cross multiply
   34,680x = 71,296 × 71,296
4. Step 4: Simplify right side
   34,680x = 5,083,119,616
5. Step 5: Solve for x
   x = 5,083,119,616/34,680
6. Step 6: Final answer
   x = 146,572.08