Finding the Third Proportional to 32,915 and 53,009

Step by Step Solution

1. Step 1: Write the proportion equation
   32,915 : 53,009 = 53,009 : x
2. Step 2: Convert to fraction form
   32,915/53,009 = 53,009/x
3. Step 3: Cross multiply
   32,915x = 53,009 × 53,009
4. Step 4: Simplify right side
   32,915x = 2,809,954,081
5. Step 5: Solve for x
   x = 2,809,954,081/32,915
6. Step 6: Final answer
   x = 85,370.02