Finding the Third Proportional to 10,422 and 22,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 22,210.50 = 22,210.50 : x
2. Step 2: Convert to fraction form
   10,422/22,210.50 = 22,210.50/x
3. Step 3: Cross multiply
   10,422x = 22,210.50 × 22,210.50
4. Step 4: Simplify right side
   10,422x = 493,306,310.25
5. Step 5: Solve for x
   x = 493,306,310.25/10,422
6. Step 6: Final answer
   x = 47,333.17