Finding the Third Proportional to 32,004 and 69,832

Step by Step Solution

1. Step 1: Write the proportion equation
   32,004 : 69,832 = 69,832 : x
2. Step 2: Convert to fraction form
   32,004/69,832 = 69,832/x
3. Step 3: Cross multiply
   32,004x = 69,832 × 69,832
4. Step 4: Simplify right side
   32,004x = 4,876,508,224
5. Step 5: Solve for x
   x = 4,876,508,224/32,004
6. Step 6: Final answer
   x = 152,371.84