Finding the Third Proportional to 22,300 and 48,746

Step by Step Solution

1. Step 1: Write the proportion equation
   22,300 : 48,746 = 48,746 : x
2. Step 2: Convert to fraction form
   22,300/48,746 = 48,746/x
3. Step 3: Cross multiply
   22,300x = 48,746 × 48,746
4. Step 4: Simplify right side
   22,300x = 2,376,172,516
5. Step 5: Solve for x
   x = 2,376,172,516/22,300
6. Step 6: Final answer
   x = 106,554.82