Finding the Third Proportional to 34,875 and 54,783

Step by Step Solution

1. Step 1: Write the proportion equation
   34,875 : 54,783 = 54,783 : x
2. Step 2: Convert to fraction form
   34,875/54,783 = 54,783/x
3. Step 3: Cross multiply
   34,875x = 54,783 × 54,783
4. Step 4: Simplify right side
   34,875x = 3,001,177,089
5. Step 5: Solve for x
   x = 3,001,177,089/34,875
6. Step 6: Final answer
   x = 86,055.26