Finding the Third Proportional to 1,533.75 and 3,196.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.75 : 3,196.88 = 3,196.88 : x
2. Step 2: Convert to fraction form
   1,533.75/3,196.88 = 3,196.88/x
3. Step 3: Cross multiply
   1,533.75x = 3,196.88 × 3,196.88
4. Step 4: Simplify right side
   1,533.75x = 10,220,009.77
5. Step 5: Solve for x
   x = 10,220,009.77/1,533.75
6. Step 6: Final answer
   x = 6,663.41