Finding the Third Proportional to 34,863 and 71,580

Step by Step Solution

1. Step 1: Write the proportion equation
   34,863 : 71,580 = 71,580 : x
2. Step 2: Convert to fraction form
   34,863/71,580 = 71,580/x
3. Step 3: Cross multiply
   34,863x = 71,580 × 71,580
4. Step 4: Simplify right side
   34,863x = 5,123,696,400
5. Step 5: Solve for x
   x = 5,123,696,400/34,863
6. Step 6: Final answer
   x = 146,966.59