Finding the Third Proportional to 1,234 and 1,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,234 : 1,792.50 = 1,792.50 : x
2. Step 2: Convert to fraction form
   1,234/1,792.50 = 1,792.50/x
3. Step 3: Cross multiply
   1,234x = 1,792.50 × 1,792.50
4. Step 4: Simplify right side
   1,234x = 3,213,056.25
5. Step 5: Solve for x
   x = 3,213,056.25/1,234
6. Step 6: Final answer
   x = 2,603.77