Finding the Third Proportional to 23,132 and 35,564

Step by Step Solution

1. Step 1: Write the proportion equation
   23,132 : 35,564 = 35,564 : x
2. Step 2: Convert to fraction form
   23,132/35,564 = 35,564/x
3. Step 3: Cross multiply
   23,132x = 35,564 × 35,564
4. Step 4: Simplify right side
   23,132x = 1,264,798,096
5. Step 5: Solve for x
   x = 1,264,798,096/23,132
6. Step 6: Final answer
   x = 54,677.42