Finding the Third Proportional to 22,588 and 49,064

Step by Step Solution

1. Step 1: Write the proportion equation
   22,588 : 49,064 = 49,064 : x
2. Step 2: Convert to fraction form
   22,588/49,064 = 49,064/x
3. Step 3: Cross multiply
   22,588x = 49,064 × 49,064
4. Step 4: Simplify right side
   22,588x = 2,407,276,096
5. Step 5: Solve for x
   x = 2,407,276,096/22,588
6. Step 6: Final answer
   x = 106,573.23