Finding the Third Proportional to 30,523 and 73,506

Step by Step Solution

1. Step 1: Write the proportion equation
   30,523 : 73,506 = 73,506 : x
2. Step 2: Convert to fraction form
   30,523/73,506 = 73,506/x
3. Step 3: Cross multiply
   30,523x = 73,506 × 73,506
4. Step 4: Simplify right side
   30,523x = 5,403,132,036
5. Step 5: Solve for x
   x = 5,403,132,036/30,523
6. Step 6: Final answer
   x = 177,018.38