Finding the Third Proportional to 981.50 and 1,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   981.50 : 1,522.50 = 1,522.50 : x
2. Step 2: Convert to fraction form
   981.50/1,522.50 = 1,522.50/x
3. Step 3: Cross multiply
   981.50x = 1,522.50 × 1,522.50
4. Step 4: Simplify right side
   981.50x = 2,318,006.25
5. Step 5: Solve for x
   x = 2,318,006.25/981.50
6. Step 6: Final answer
   x = 2,361.70