Finding the Third Proportional to 33,948 and 70,224

Step by Step Solution

1. Step 1: Write the proportion equation
   33,948 : 70,224 = 70,224 : x
2. Step 2: Convert to fraction form
   33,948/70,224 = 70,224/x
3. Step 3: Cross multiply
   33,948x = 70,224 × 70,224
4. Step 4: Simplify right side
   33,948x = 4,931,410,176
5. Step 5: Solve for x
   x = 4,931,410,176/33,948
6. Step 6: Final answer
   x = 145,263.64