Finding the Third Proportional to 35,523 and 72,693

Step by Step Solution

1. Step 1: Write the proportion equation
   35,523 : 72,693 = 72,693 : x
2. Step 2: Convert to fraction form
   35,523/72,693 = 72,693/x
3. Step 3: Cross multiply
   35,523x = 72,693 × 72,693
4. Step 4: Simplify right side
   35,523x = 5,284,272,249
5. Step 5: Solve for x
   x = 5,284,272,249/35,523
6. Step 6: Final answer
   x = 148,756.36