Finding the Third Proportional to 20,977.50 and 32,742

Step by Step Solution

1. Step 1: Write the proportion equation
   20,977.50 : 32,742 = 32,742 : x
2. Step 2: Convert to fraction form
   20,977.50/32,742 = 32,742/x
3. Step 3: Cross multiply
   20,977.50x = 32,742 × 32,742
4. Step 4: Simplify right side
   20,977.50x = 1,072,038,564
5. Step 5: Solve for x
   x = 1,072,038,564/20,977.50
6. Step 6: Final answer
   x = 51,104.21