Finding the Third Proportional to 22,431 and 47,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,431 : 47,185.50 = 47,185.50 : x
2. Step 2: Convert to fraction form
   22,431/47,185.50 = 47,185.50/x
3. Step 3: Cross multiply
   22,431x = 47,185.50 × 47,185.50
4. Step 4: Simplify right side
   22,431x = 2,226,471,410.25
5. Step 5: Solve for x
   x = 2,226,471,410.25/22,431
6. Step 6: Final answer
   x = 99,258.68