Finding the Third Proportional to 34,866 and 71,569.88

Step by Step Solution

1. Step 1: Write the proportion equation
   34,866 : 71,569.88 = 71,569.88 : x
2. Step 2: Convert to fraction form
   34,866/71,569.88 = 71,569.88/x
3. Step 3: Cross multiply
   34,866x = 71,569.88 × 71,569.88
4. Step 4: Simplify right side
   34,866x = 5,122,247,007.52
5. Step 5: Solve for x
   x = 5,122,247,007.52/34,866
6. Step 6: Final answer
   x = 146,912.38