Finding the Third Proportional to 1,521 and 1,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,521 : 1,969.50 = 1,969.50 : x
2. Step 2: Convert to fraction form
   1,521/1,969.50 = 1,969.50/x
3. Step 3: Cross multiply
   1,521x = 1,969.50 × 1,969.50
4. Step 4: Simplify right side
   1,521x = 3,878,930.25
5. Step 5: Solve for x
   x = 3,878,930.25/1,521
6. Step 6: Final answer
   x = 2,550.25