Finding the Third Proportional to 1,758.75 and 2,784.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,758.75 : 2,784.94 = 2,784.94 : x
2. Step 2: Convert to fraction form
   1,758.75/2,784.94 = 2,784.94/x
3. Step 3: Cross multiply
   1,758.75x = 2,784.94 × 2,784.94
4. Step 4: Simplify right side
   1,758.75x = 7,755,876.88
5. Step 5: Solve for x
   x = 7,755,876.88/1,758.75
6. Step 6: Final answer
   x = 4,409.88