Finding the Third Proportional to 5,382 and 10,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,382 : 10,210.50 = 10,210.50 : x
2. Step 2: Convert to fraction form
   5,382/10,210.50 = 10,210.50/x
3. Step 3: Cross multiply
   5,382x = 10,210.50 × 10,210.50
4. Step 4: Simplify right side
   5,382x = 104,254,310.25
5. Step 5: Solve for x
   x = 104,254,310.25/5,382
6. Step 6: Final answer
   x = 19,370.92