Finding the Third Proportional to 1,265 and 1,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265 : 1,970.50 = 1,970.50 : x
2. Step 2: Convert to fraction form
   1,265/1,970.50 = 1,970.50/x
3. Step 3: Cross multiply
   1,265x = 1,970.50 × 1,970.50
4. Step 4: Simplify right side
   1,265x = 3,882,870.25
5. Step 5: Solve for x
   x = 3,882,870.25/1,265
6. Step 6: Final answer
   x = 3,069.46