Finding the Third Proportional to 33,580 and 53,142

Step by Step Solution

1. Step 1: Write the proportion equation
   33,580 : 53,142 = 53,142 : x
2. Step 2: Convert to fraction form
   33,580/53,142 = 53,142/x
3. Step 3: Cross multiply
   33,580x = 53,142 × 53,142
4. Step 4: Simplify right side
   33,580x = 2,824,072,164
5. Step 5: Solve for x
   x = 2,824,072,164/33,580
6. Step 6: Final answer
   x = 84,099.83