Finding the Third Proportional to 34,864 and 71,791

Step by Step Solution

1. Step 1: Write the proportion equation
   34,864 : 71,791 = 71,791 : x
2. Step 2: Convert to fraction form
   34,864/71,791 = 71,791/x
3. Step 3: Cross multiply
   34,864x = 71,791 × 71,791
4. Step 4: Simplify right side
   34,864x = 5,153,947,681
5. Step 5: Solve for x
   x = 5,153,947,681/34,864
6. Step 6: Final answer
   x = 147,830.07