Finding the Third Proportional to 32,404 and 70,664

Step by Step Solution

1. Step 1: Write the proportion equation
   32,404 : 70,664 = 70,664 : x
2. Step 2: Convert to fraction form
   32,404/70,664 = 70,664/x
3. Step 3: Cross multiply
   32,404x = 70,664 × 70,664
4. Step 4: Simplify right side
   32,404x = 4,993,400,896
5. Step 5: Solve for x
   x = 4,993,400,896/32,404
6. Step 6: Final answer
   x = 154,098.29