Finding the Third Proportional to 1,201.50 and 1,927.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.50 : 1,927.38 = 1,927.38 : x
2. Step 2: Convert to fraction form
   1,201.50/1,927.38 = 1,927.38/x
3. Step 3: Cross multiply
   1,201.50x = 1,927.38 × 1,927.38
4. Step 4: Simplify right side
   1,201.50x = 3,714,774.39
5. Step 5: Solve for x
   x = 3,714,774.39/1,201.50
6. Step 6: Final answer
   x = 3,091.78