Finding the Third Proportional to 32,224 and 70,352

Step by Step Solution

1. Step 1: Write the proportion equation
   32,224 : 70,352 = 70,352 : x
2. Step 2: Convert to fraction form
   32,224/70,352 = 70,352/x
3. Step 3: Cross multiply
   32,224x = 70,352 × 70,352
4. Step 4: Simplify right side
   32,224x = 4,949,403,904
5. Step 5: Solve for x
   x = 4,949,403,904/32,224
6. Step 6: Final answer
   x = 153,593.72