Finding the Third Proportional to 32,410 and 70,504

Step by Step Solution

1. Step 1: Write the proportion equation
   32,410 : 70,504 = 70,504 : x
2. Step 2: Convert to fraction form
   32,410/70,504 = 70,504/x
3. Step 3: Cross multiply
   32,410x = 70,504 × 70,504
4. Step 4: Simplify right side
   32,410x = 4,970,814,016
5. Step 5: Solve for x
   x = 4,970,814,016/32,410
6. Step 6: Final answer
   x = 153,372.85