Finding the Third Proportional to 32,036 and 69,480

Step by Step Solution

1. Step 1: Write the proportion equation
   32,036 : 69,480 = 69,480 : x
2. Step 2: Convert to fraction form
   32,036/69,480 = 69,480/x
3. Step 3: Cross multiply
   32,036x = 69,480 × 69,480
4. Step 4: Simplify right side
   32,036x = 4,827,470,400
5. Step 5: Solve for x
   x = 4,827,470,400/32,036
6. Step 6: Final answer
   x = 150,688.92