Finding the Third Proportional to 22,141 and 47,780

Step by Step Solution

1. Step 1: Write the proportion equation
   22,141 : 47,780 = 47,780 : x
2. Step 2: Convert to fraction form
   22,141/47,780 = 47,780/x
3. Step 3: Cross multiply
   22,141x = 47,780 × 47,780
4. Step 4: Simplify right side
   22,141x = 2,282,928,400
5. Step 5: Solve for x
   x = 2,282,928,400/22,141
6. Step 6: Final answer
   x = 103,108.64