Finding the Third Proportional to 962.50 and 1,952

Step by Step Solution

1. Step 1: Write the proportion equation
   962.50 : 1,952 = 1,952 : x
2. Step 2: Convert to fraction form
   962.50/1,952 = 1,952/x
3. Step 3: Cross multiply
   962.50x = 1,952 × 1,952
4. Step 4: Simplify right side
   962.50x = 3,810,304
5. Step 5: Solve for x
   x = 3,810,304/962.50
6. Step 6: Final answer
   x = 3,958.76