Finding the Third Proportional to 1,192.50 and 2,766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.50 : 2,766.25 = 2,766.25 : x
2. Step 2: Convert to fraction form
   1,192.50/2,766.25 = 2,766.25/x
3. Step 3: Cross multiply
   1,192.50x = 2,766.25 × 2,766.25
4. Step 4: Simplify right side
   1,192.50x = 7,652,139.06
5. Step 5: Solve for x
   x = 7,652,139.06/1,192.50
6. Step 6: Final answer
   x = 6,416.89