Finding the Third Proportional to 20,532 and 31,854

Step by Step Solution

1. Step 1: Write the proportion equation
   20,532 : 31,854 = 31,854 : x
2. Step 2: Convert to fraction form
   20,532/31,854 = 31,854/x
3. Step 3: Cross multiply
   20,532x = 31,854 × 31,854
4. Step 4: Simplify right side
   20,532x = 1,014,677,316
5. Step 5: Solve for x
   x = 1,014,677,316/20,532
6. Step 6: Final answer
   x = 49,419.31