Finding the Third Proportional to 1,201.50 and 2,663.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.50 : 2,663.94 = 2,663.94 : x
2. Step 2: Convert to fraction form
   1,201.50/2,663.94 = 2,663.94/x
3. Step 3: Cross multiply
   1,201.50x = 2,663.94 × 2,663.94
4. Step 4: Simplify right side
   1,201.50x = 7,096,563.00
5. Step 5: Solve for x
   x = 7,096,563.00/1,201.50
6. Step 6: Final answer
   x = 5,906.42