Finding the Third Proportional to 20,884 and 31,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,884 : 31,987.50 = 31,987.50 : x
2. Step 2: Convert to fraction form
   20,884/31,987.50 = 31,987.50/x
3. Step 3: Cross multiply
   20,884x = 31,987.50 × 31,987.50
4. Step 4: Simplify right side
   20,884x = 1,023,200,156.25
5. Step 5: Solve for x
   x = 1,023,200,156.25/20,884
6. Step 6: Final answer
   x = 48,994.45