Finding the Third Proportional to 1,122 and 1,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,122 : 1,837.50 = 1,837.50 : x
2. Step 2: Convert to fraction form
   1,122/1,837.50 = 1,837.50/x
3. Step 3: Cross multiply
   1,122x = 1,837.50 × 1,837.50
4. Step 4: Simplify right side
   1,122x = 3,376,406.25
5. Step 5: Solve for x
   x = 3,376,406.25/1,122
6. Step 6: Final answer
   x = 3,009.27