Finding the Third Proportional to 34,214 and 70,724

Step by Step Solution

1. Step 1: Write the proportion equation
   34,214 : 70,724 = 70,724 : x
2. Step 2: Convert to fraction form
   34,214/70,724 = 70,724/x
3. Step 3: Cross multiply
   34,214x = 70,724 × 70,724
4. Step 4: Simplify right side
   34,214x = 5,001,884,176
5. Step 5: Solve for x
   x = 5,001,884,176/34,214
6. Step 6: Final answer
   x = 146,194.08