Finding the Third Proportional to 1,196.63 and 1,848.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.63 : 1,848.19 = 1,848.19 : x
2. Step 2: Convert to fraction form
   1,196.63/1,848.19 = 1,848.19/x
3. Step 3: Cross multiply
   1,196.63x = 1,848.19 × 1,848.19
4. Step 4: Simplify right side
   1,196.63x = 3,415,797.04
5. Step 5: Solve for x
   x = 3,415,797.04/1,196.63
6. Step 6: Final answer
   x = 2,854.53