Finding the Third Proportional to 23,014 and 49,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,014 : 49,649.50 = 49,649.50 : x
2. Step 2: Convert to fraction form
   23,014/49,649.50 = 49,649.50/x
3. Step 3: Cross multiply
   23,014x = 49,649.50 × 49,649.50
4. Step 4: Simplify right side
   23,014x = 2,465,072,850.25
5. Step 5: Solve for x
   x = 2,465,072,850.25/23,014
6. Step 6: Final answer
   x = 107,111.88