Finding the Third Proportional to 10,074.50 and 21,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.50 : 21,768.50 = 21,768.50 : x
2. Step 2: Convert to fraction form
   10,074.50/21,768.50 = 21,768.50/x
3. Step 3: Cross multiply
   10,074.50x = 21,768.50 × 21,768.50
4. Step 4: Simplify right side
   10,074.50x = 473,867,592.25
5. Step 5: Solve for x
   x = 473,867,592.25/10,074.50
6. Step 6: Final answer
   x = 47,036.34