Finding the Third Proportional to 1,298.50 and 1,972

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.50 : 1,972 = 1,972 : x
2. Step 2: Convert to fraction form
   1,298.50/1,972 = 1,972/x
3. Step 3: Cross multiply
   1,298.50x = 1,972 × 1,972
4. Step 4: Simplify right side
   1,298.50x = 3,888,784
5. Step 5: Solve for x
   x = 3,888,784/1,298.50
6. Step 6: Final answer
   x = 2,994.83