Finding the Third Proportional to 49,680 and 73,845

Step by Step Solution

1. Step 1: Write the proportion equation
   49,680 : 73,845 = 73,845 : x
2. Step 2: Convert to fraction form
   49,680/73,845 = 73,845/x
3. Step 3: Cross multiply
   49,680x = 73,845 × 73,845
4. Step 4: Simplify right side
   49,680x = 5,453,084,025
5. Step 5: Solve for x
   x = 5,453,084,025/49,680
6. Step 6: Final answer
   x = 109,764.17