Finding the Third Proportional to 1,012.50 and 1,611

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.50 : 1,611 = 1,611 : x
2. Step 2: Convert to fraction form
   1,012.50/1,611 = 1,611/x
3. Step 3: Cross multiply
   1,012.50x = 1,611 × 1,611
4. Step 4: Simplify right side
   1,012.50x = 2,595,321
5. Step 5: Solve for x
   x = 2,595,321/1,012.50
6. Step 6: Final answer
   x = 2,563.28