Finding the Third Proportional to 25,624 and 32,742

Step by Step Solution

1. Step 1: Write the proportion equation
   25,624 : 32,742 = 32,742 : x
2. Step 2: Convert to fraction form
   25,624/32,742 = 32,742/x
3. Step 3: Cross multiply
   25,624x = 32,742 × 32,742
4. Step 4: Simplify right side
   25,624x = 1,072,038,564
5. Step 5: Solve for x
   x = 1,072,038,564/25,624
6. Step 6: Final answer
   x = 41,837.28