Finding the Third Proportional to 34,724 and 71,910

Step by Step Solution

1. Step 1: Write the proportion equation
   34,724 : 71,910 = 71,910 : x
2. Step 2: Convert to fraction form
   34,724/71,910 = 71,910/x
3. Step 3: Cross multiply
   34,724x = 71,910 × 71,910
4. Step 4: Simplify right side
   34,724x = 5,171,048,100
5. Step 5: Solve for x
   x = 5,171,048,100/34,724
6. Step 6: Final answer
   x = 148,918.56