Finding the Third Proportional to 10,023 and 21,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023 : 21,754.50 = 21,754.50 : x
2. Step 2: Convert to fraction form
   10,023/21,754.50 = 21,754.50/x
3. Step 3: Cross multiply
   10,023x = 21,754.50 × 21,754.50
4. Step 4: Simplify right side
   10,023x = 473,258,270.25
5. Step 5: Solve for x
   x = 473,258,270.25/10,023
6. Step 6: Final answer
   x = 47,217.23