Finding the Third Proportional to 948.88 and 2,084.59

Step by Step Solution

1. Step 1: Write the proportion equation
   948.88 : 2,084.59 = 2,084.59 : x
2. Step 2: Convert to fraction form
   948.88/2,084.59 = 2,084.59/x
3. Step 3: Cross multiply
   948.88x = 2,084.59 × 2,084.59
4. Step 4: Simplify right side
   948.88x = 4,345,514.82
5. Step 5: Solve for x
   x = 4,345,514.82/948.88
6. Step 6: Final answer
   x = 4,579.60