Finding the Third Proportional to 1,155.30 and 1,692.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.30 : 1,692.35 = 1,692.35 : x
2. Step 2: Convert to fraction form
   1,155.30/1,692.35 = 1,692.35/x
3. Step 3: Cross multiply
   1,155.30x = 1,692.35 × 1,692.35
4. Step 4: Simplify right side
   1,155.30x = 2,864,053.81
5. Step 5: Solve for x
   x = 2,864,053.81/1,155.30
6. Step 6: Final answer
   x = 2,479.05