Finding the Third Proportional to 10,099.50 and 21,657

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.50 : 21,657 = 21,657 : x
2. Step 2: Convert to fraction form
   10,099.50/21,657 = 21,657/x
3. Step 3: Cross multiply
   10,099.50x = 21,657 × 21,657
4. Step 4: Simplify right side
   10,099.50x = 469,025,649
5. Step 5: Solve for x
   x = 469,025,649/10,099.50
6. Step 6: Final answer
   x = 46,440.48