Finding the Third Proportional to 32,382 and 70,462

Step by Step Solution

1. Step 1: Write the proportion equation
   32,382 : 70,462 = 70,462 : x
2. Step 2: Convert to fraction form
   32,382/70,462 = 70,462/x
3. Step 3: Cross multiply
   32,382x = 70,462 × 70,462
4. Step 4: Simplify right side
   32,382x = 4,964,893,444
5. Step 5: Solve for x
   x = 4,964,893,444/32,382
6. Step 6: Final answer
   x = 153,322.63