Finding the Third Proportional to 10,074 and 22,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074 : 22,162.50 = 22,162.50 : x
2. Step 2: Convert to fraction form
   10,074/22,162.50 = 22,162.50/x
3. Step 3: Cross multiply
   10,074x = 22,162.50 × 22,162.50
4. Step 4: Simplify right side
   10,074x = 491,176,406.25
5. Step 5: Solve for x
   x = 491,176,406.25/10,074
6. Step 6: Final answer
   x = 48,756.84