Finding the Third Proportional to 32,007 and 45,054

Step by Step Solution

1. Step 1: Write the proportion equation
   32,007 : 45,054 = 45,054 : x
2. Step 2: Convert to fraction form
   32,007/45,054 = 45,054/x
3. Step 3: Cross multiply
   32,007x = 45,054 × 45,054
4. Step 4: Simplify right side
   32,007x = 2,029,862,916
5. Step 5: Solve for x
   x = 2,029,862,916/32,007
6. Step 6: Final answer
   x = 63,419.34