Finding the Third Proportional to 1,299.50 and 1,830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,299.50 : 1,830.25 = 1,830.25 : x
2. Step 2: Convert to fraction form
   1,299.50/1,830.25 = 1,830.25/x
3. Step 3: Cross multiply
   1,299.50x = 1,830.25 × 1,830.25
4. Step 4: Simplify right side
   1,299.50x = 3,349,815.06
5. Step 5: Solve for x
   x = 3,349,815.06/1,299.50
6. Step 6: Final answer
   x = 2,577.77