Finding the Third Proportional to 10,405.50 and 23,280

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.50 : 23,280 = 23,280 : x
2. Step 2: Convert to fraction form
   10,405.50/23,280 = 23,280/x
3. Step 3: Cross multiply
   10,405.50x = 23,280 × 23,280
4. Step 4: Simplify right side
   10,405.50x = 541,958,400
5. Step 5: Solve for x
   x = 541,958,400/10,405.50
6. Step 6: Final answer
   x = 52,083.84