Finding the Third Proportional to 34,639 and 55,783

Step by Step Solution

1. Step 1: Write the proportion equation
   34,639 : 55,783 = 55,783 : x
2. Step 2: Convert to fraction form
   34,639/55,783 = 55,783/x
3. Step 3: Cross multiply
   34,639x = 55,783 × 55,783
4. Step 4: Simplify right side
   34,639x = 3,111,743,089
5. Step 5: Solve for x
   x = 3,111,743,089/34,639
6. Step 6: Final answer
   x = 89,833.51