Finding the Third Proportional to 10,213 and 21,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213 : 21,811.50 = 21,811.50 : x
2. Step 2: Convert to fraction form
   10,213/21,811.50 = 21,811.50/x
3. Step 3: Cross multiply
   10,213x = 21,811.50 × 21,811.50
4. Step 4: Simplify right side
   10,213x = 475,741,532.25
5. Step 5: Solve for x
   x = 475,741,532.25/10,213
6. Step 6: Final answer
   x = 46,581.96