Finding the Third Proportional to 34,224 and 70,742

Step by Step Solution

1. Step 1: Write the proportion equation
   34,224 : 70,742 = 70,742 : x
2. Step 2: Convert to fraction form
   34,224/70,742 = 70,742/x
3. Step 3: Cross multiply
   34,224x = 70,742 × 70,742
4. Step 4: Simplify right side
   34,224x = 5,004,430,564
5. Step 5: Solve for x
   x = 5,004,430,564/34,224
6. Step 6: Final answer
   x = 146,225.76