Finding the Third Proportional to 22,261.50 and 47,796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   22,261.50 : 47,796.75 = 47,796.75 : x
2. Step 2: Convert to fraction form
   22,261.50/47,796.75 = 47,796.75/x
3. Step 3: Cross multiply
   22,261.50x = 47,796.75 × 47,796.75
4. Step 4: Simplify right side
   22,261.50x = 2,284,529,310.56
5. Step 5: Solve for x
   x = 2,284,529,310.56/22,261.50
6. Step 6: Final answer
   x = 102,622.43