Finding the Third Proportional to 25,909.50 and 55,783

Step by Step Solution

1. Step 1: Write the proportion equation
   25,909.50 : 55,783 = 55,783 : x
2. Step 2: Convert to fraction form
   25,909.50/55,783 = 55,783/x
3. Step 3: Cross multiply
   25,909.50x = 55,783 × 55,783
4. Step 4: Simplify right side
   25,909.50x = 3,111,743,089
5. Step 5: Solve for x
   x = 3,111,743,089/25,909.50
6. Step 6: Final answer
   x = 120,100.47