Finding the Third Proportional to 1,205 and 2,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205 : 2,522.50 = 2,522.50 : x
2. Step 2: Convert to fraction form
   1,205/2,522.50 = 2,522.50/x
3. Step 3: Cross multiply
   1,205x = 2,522.50 × 2,522.50
4. Step 4: Simplify right side
   1,205x = 6,363,006.25
5. Step 5: Solve for x
   x = 6,363,006.25/1,205
6. Step 6: Final answer
   x = 5,280.50