Finding the Third Proportional to 1,522.50 and 2,138

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.50 : 2,138 = 2,138 : x
2. Step 2: Convert to fraction form
   1,522.50/2,138 = 2,138/x
3. Step 3: Cross multiply
   1,522.50x = 2,138 × 2,138
4. Step 4: Simplify right side
   1,522.50x = 4,571,044
5. Step 5: Solve for x
   x = 4,571,044/1,522.50
6. Step 6: Final answer
   x = 3,002.33