Finding the Third Proportional to 2,526 and 3,834.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,526 : 3,834.75 = 3,834.75 : x
2. Step 2: Convert to fraction form
   2,526/3,834.75 = 3,834.75/x
3. Step 3: Cross multiply
   2,526x = 3,834.75 × 3,834.75
4. Step 4: Simplify right side
   2,526x = 14,705,307.56
5. Step 5: Solve for x
   x = 14,705,307.56/2,526
6. Step 6: Final answer
   x = 5,821.58