Finding the Third Proportional to 781.31 and 1,692.56

Step by Step Solution

1. Step 1: Write the proportion equation
   781.31 : 1,692.56 = 1,692.56 : x
2. Step 2: Convert to fraction form
   781.31/1,692.56 = 1,692.56/x
3. Step 3: Cross multiply
   781.31x = 1,692.56 × 1,692.56
4. Step 4: Simplify right side
   781.31x = 2,864,767.82
5. Step 5: Solve for x
   x = 2,864,767.82/781.31
6. Step 6: Final answer
   x = 3,666.61