Finding the Third Proportional to 22,061 and 47,578

Step by Step Solution

1. Step 1: Write the proportion equation
   22,061 : 47,578 = 47,578 : x
2. Step 2: Convert to fraction form
   22,061/47,578 = 47,578/x
3. Step 3: Cross multiply
   22,061x = 47,578 × 47,578
4. Step 4: Simplify right side
   22,061x = 2,263,666,084
5. Step 5: Solve for x
   x = 2,263,666,084/22,061
6. Step 6: Final answer
   x = 102,609.41