Finding the Third Proportional to 33,580 and 73,528

Step by Step Solution

1. Step 1: Write the proportion equation
   33,580 : 73,528 = 73,528 : x
2. Step 2: Convert to fraction form
   33,580/73,528 = 73,528/x
3. Step 3: Cross multiply
   33,580x = 73,528 × 73,528
4. Step 4: Simplify right side
   33,580x = 5,406,366,784
5. Step 5: Solve for x
   x = 5,406,366,784/33,580
6. Step 6: Final answer
   x = 160,999.61