Finding the Third Proportional to 32,564 and 43,014

Step by Step Solution

1. Step 1: Write the proportion equation
   32,564 : 43,014 = 43,014 : x
2. Step 2: Convert to fraction form
   32,564/43,014 = 43,014/x
3. Step 3: Cross multiply
   32,564x = 43,014 × 43,014
4. Step 4: Simplify right side
   32,564x = 1,850,204,196
5. Step 5: Solve for x
   x = 1,850,204,196/32,564
6. Step 6: Final answer
   x = 56,817.47