Finding the Third Proportional to 2,142.50 and 2,526.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.50 : 2,526.25 = 2,526.25 : x
2. Step 2: Convert to fraction form
   2,142.50/2,526.25 = 2,526.25/x
3. Step 3: Cross multiply
   2,142.50x = 2,526.25 × 2,526.25
4. Step 4: Simplify right side
   2,142.50x = 6,381,939.06
5. Step 5: Solve for x
   x = 6,381,939.06/2,142.50
6. Step 6: Final answer
   x = 2,978.73