Finding the Third Proportional to 22,680 and 48,846

Step by Step Solution

1. Step 1: Write the proportion equation
   22,680 : 48,846 = 48,846 : x
2. Step 2: Convert to fraction form
   22,680/48,846 = 48,846/x
3. Step 3: Cross multiply
   22,680x = 48,846 × 48,846
4. Step 4: Simplify right side
   22,680x = 2,385,931,716
5. Step 5: Solve for x
   x = 2,385,931,716/22,680
6. Step 6: Final answer
   x = 105,199.81