Finding the Third Proportional to 23,047 and 49,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,047 : 49,597.50 = 49,597.50 : x
2. Step 2: Convert to fraction form
   23,047/49,597.50 = 49,597.50/x
3. Step 3: Cross multiply
   23,047x = 49,597.50 × 49,597.50
4. Step 4: Simplify right side
   23,047x = 2,459,912,006.25
5. Step 5: Solve for x
   x = 2,459,912,006.25/23,047
6. Step 6: Final answer
   x = 106,734.59