Finding the Third Proportional to 23,566 and 49,076

Step by Step Solution

1. Step 1: Write the proportion equation
   23,566 : 49,076 = 49,076 : x
2. Step 2: Convert to fraction form
   23,566/49,076 = 49,076/x
3. Step 3: Cross multiply
   23,566x = 49,076 × 49,076
4. Step 4: Simplify right side
   23,566x = 2,408,453,776
5. Step 5: Solve for x
   x = 2,408,453,776/23,566
6. Step 6: Final answer
   x = 102,200.36