Finding the Third Proportional to 53,411 and 83,783

Step by Step Solution

1. Step 1: Write the proportion equation
   53,411 : 83,783 = 83,783 : x
2. Step 2: Convert to fraction form
   53,411/83,783 = 83,783/x
3. Step 3: Cross multiply
   53,411x = 83,783 × 83,783
4. Step 4: Simplify right side
   53,411x = 7,019,591,089
5. Step 5: Solve for x
   x = 7,019,591,089/53,411
6. Step 6: Final answer
   x = 131,425.94