Finding the Third Proportional to 49,386 and 72,783

Step by Step Solution

1. Step 1: Write the proportion equation
   49,386 : 72,783 = 72,783 : x
2. Step 2: Convert to fraction form
   49,386/72,783 = 72,783/x
3. Step 3: Cross multiply
   49,386x = 72,783 × 72,783
4. Step 4: Simplify right side
   49,386x = 5,297,365,089
5. Step 5: Solve for x
   x = 5,297,365,089/49,386
6. Step 6: Final answer
   x = 107,264.51