Finding the Third Proportional to 10,006.50 and 13,362

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006.50 : 13,362 = 13,362 : x
2. Step 2: Convert to fraction form
   10,006.50/13,362 = 13,362/x
3. Step 3: Cross multiply
   10,006.50x = 13,362 × 13,362
4. Step 4: Simplify right side
   10,006.50x = 178,543,044
5. Step 5: Solve for x
   x = 178,543,044/10,006.50
6. Step 6: Final answer
   x = 17,842.71