Finding the Third Proportional to 2,526 and 3,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,526 : 3,769.50 = 3,769.50 : x
2. Step 2: Convert to fraction form
   2,526/3,769.50 = 3,769.50/x
3. Step 3: Cross multiply
   2,526x = 3,769.50 × 3,769.50
4. Step 4: Simplify right side
   2,526x = 14,209,130.25
5. Step 5: Solve for x
   x = 14,209,130.25/2,526
6. Step 6: Final answer
   x = 5,625.15