Finding the Third Proportional to 1,506.94 and 1,976.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.94 : 1,976.91 = 1,976.91 : x
2. Step 2: Convert to fraction form
   1,506.94/1,976.91 = 1,976.91/x
3. Step 3: Cross multiply
   1,506.94x = 1,976.91 × 1,976.91
4. Step 4: Simplify right side
   1,506.94x = 3,908,158.32
5. Step 5: Solve for x
   x = 3,908,158.32/1,506.94
6. Step 6: Final answer
   x = 2,593.44