Finding the Third Proportional to 34,540 and 71,536

Step by Step Solution

1. Step 1: Write the proportion equation
   34,540 : 71,536 = 71,536 : x
2. Step 2: Convert to fraction form
   34,540/71,536 = 71,536/x
3. Step 3: Cross multiply
   34,540x = 71,536 × 71,536
4. Step 4: Simplify right side
   34,540x = 5,117,399,296
5. Step 5: Solve for x
   x = 5,117,399,296/34,540
6. Step 6: Final answer
   x = 148,158.64