Finding the Third Proportional to 792.50 and 1,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   792.50 : 1,212.50 = 1,212.50 : x
2. Step 2: Convert to fraction form
   792.50/1,212.50 = 1,212.50/x
3. Step 3: Cross multiply
   792.50x = 1,212.50 × 1,212.50
4. Step 4: Simplify right side
   792.50x = 1,470,156.25
5. Step 5: Solve for x
   x = 1,470,156.25/792.50
6. Step 6: Final answer
   x = 1,855.09