Finding the Third Proportional to 1,318.50 and 1,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,318.50 : 1,972.50 = 1,972.50 : x
2. Step 2: Convert to fraction form
   1,318.50/1,972.50 = 1,972.50/x
3. Step 3: Cross multiply
   1,318.50x = 1,972.50 × 1,972.50
4. Step 4: Simplify right side
   1,318.50x = 3,890,756.25
5. Step 5: Solve for x
   x = 3,890,756.25/1,318.50
6. Step 6: Final answer
   x = 2,950.90