Finding the Third Proportional to 625.91 and 981.83

Step by Step Solution

1. Step 1: Write the proportion equation
   625.91 : 981.83 = 981.83 : x
2. Step 2: Convert to fraction form
   625.91/981.83 = 981.83/x
3. Step 3: Cross multiply
   625.91x = 981.83 × 981.83
4. Step 4: Simplify right side
   625.91x = 963,994.14
5. Step 5: Solve for x
   x = 963,994.14/625.91
6. Step 6: Final answer
   x = 1,540.15