Finding the Third Proportional to 23,589 and 51,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,589 : 51,553.50 = 51,553.50 : x
2. Step 2: Convert to fraction form
   23,589/51,553.50 = 51,553.50/x
3. Step 3: Cross multiply
   23,589x = 51,553.50 × 51,553.50
4. Step 4: Simplify right side
   23,589x = 2,657,763,362.25
5. Step 5: Solve for x
   x = 2,657,763,362.25/23,589
6. Step 6: Final answer
   x = 112,669.61