Finding the Third Proportional to 1,298.34 and 1,961.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.34 : 1,961.02 = 1,961.02 : x
2. Step 2: Convert to fraction form
   1,298.34/1,961.02 = 1,961.02/x
3. Step 3: Cross multiply
   1,298.34x = 1,961.02 × 1,961.02
4. Step 4: Simplify right side
   1,298.34x = 3,845,582.28
5. Step 5: Solve for x
   x = 3,845,582.28/1,298.34
6. Step 6: Final answer
   x = 2,961.91