Finding the Third Proportional to 23,745 and 34,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,745 : 34,222.50 = 34,222.50 : x
2. Step 2: Convert to fraction form
   23,745/34,222.50 = 34,222.50/x
3. Step 3: Cross multiply
   23,745x = 34,222.50 × 34,222.50
4. Step 4: Simplify right side
   23,745x = 1,171,179,506.25
5. Step 5: Solve for x
   x = 1,171,179,506.25/23,745
6. Step 6: Final answer
   x = 49,323.21