Finding the Third Proportional to 22,758 and 47,333

Step by Step Solution

1. Step 1: Write the proportion equation
   22,758 : 47,333 = 47,333 : x
2. Step 2: Convert to fraction form
   22,758/47,333 = 47,333/x
3. Step 3: Cross multiply
   22,758x = 47,333 × 47,333
4. Step 4: Simplify right side
   22,758x = 2,240,412,889
5. Step 5: Solve for x
   x = 2,240,412,889/22,758
6. Step 6: Final answer
   x = 98,445.07