Finding the Third Proportional to 733.50 and 1,980.56

Step by Step Solution

1. Step 1: Write the proportion equation
   733.50 : 1,980.56 = 1,980.56 : x
2. Step 2: Convert to fraction form
   733.50/1,980.56 = 1,980.56/x
3. Step 3: Cross multiply
   733.50x = 1,980.56 × 1,980.56
4. Step 4: Simplify right side
   733.50x = 3,922,627.82
5. Step 5: Solve for x
   x = 3,922,627.82/733.50
6. Step 6: Final answer
   x = 5,347.82