Finding the Third Proportional to 34,866 and 71,586

Step by Step Solution

1. Step 1: Write the proportion equation
   34,866 : 71,586 = 71,586 : x
2. Step 2: Convert to fraction form
   34,866/71,586 = 71,586/x
3. Step 3: Cross multiply
   34,866x = 71,586 × 71,586
4. Step 4: Simplify right side
   34,866x = 5,124,555,396
5. Step 5: Solve for x
   x = 5,124,555,396/34,866
6. Step 6: Final answer
   x = 146,978.59