Finding the Third Proportional to 1,822.50 and 3,264

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.50 : 3,264 = 3,264 : x
2. Step 2: Convert to fraction form
   1,822.50/3,264 = 3,264/x
3. Step 3: Cross multiply
   1,822.50x = 3,264 × 3,264
4. Step 4: Simplify right side
   1,822.50x = 10,653,696
5. Step 5: Solve for x
   x = 10,653,696/1,822.50
6. Step 6: Final answer
   x = 5,845.65