Finding the Third Proportional to 20,967.50 and 45,823

Step by Step Solution

1. Step 1: Write the proportion equation
   20,967.50 : 45,823 = 45,823 : x
2. Step 2: Convert to fraction form
   20,967.50/45,823 = 45,823/x
3. Step 3: Cross multiply
   20,967.50x = 45,823 × 45,823
4. Step 4: Simplify right side
   20,967.50x = 2,099,747,329
5. Step 5: Solve for x
   x = 2,099,747,329/20,967.50
6. Step 6: Final answer
   x = 100,142.95