Finding the Third Proportional to 10,902.94 and 23,546.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,902.94 : 23,546.53 = 23,546.53 : x
2. Step 2: Convert to fraction form
   10,902.94/23,546.53 = 23,546.53/x
3. Step 3: Cross multiply
   10,902.94x = 23,546.53 × 23,546.53
4. Step 4: Simplify right side
   10,902.94x = 554,439,133.91
5. Step 5: Solve for x
   x = 554,439,133.91/10,902.94
6. Step 6: Final answer
   x = 50,852.27