Finding the Third Proportional to 21,960 and 32,457

Step by Step Solution

1. Step 1: Write the proportion equation
   21,960 : 32,457 = 32,457 : x
2. Step 2: Convert to fraction form
   21,960/32,457 = 32,457/x
3. Step 3: Cross multiply
   21,960x = 32,457 × 32,457
4. Step 4: Simplify right side
   21,960x = 1,053,456,849
5. Step 5: Solve for x
   x = 1,053,456,849/21,960
6. Step 6: Final answer
   x = 47,971.62