Finding the Third Proportional to 11,827.50 and 25,476

Step by Step Solution

1. Step 1: Write the proportion equation
   11,827.50 : 25,476 = 25,476 : x
2. Step 2: Convert to fraction form
   11,827.50/25,476 = 25,476/x
3. Step 3: Cross multiply
   11,827.50x = 25,476 × 25,476
4. Step 4: Simplify right side
   11,827.50x = 649,026,576
5. Step 5: Solve for x
   x = 649,026,576/11,827.50
6. Step 6: Final answer
   x = 54,874.37