Finding the Third Proportional to 35,541 and 76,624

Step by Step Solution

1. Step 1: Write the proportion equation
   35,541 : 76,624 = 76,624 : x
2. Step 2: Convert to fraction form
   35,541/76,624 = 76,624/x
3. Step 3: Cross multiply
   35,541x = 76,624 × 76,624
4. Step 4: Simplify right side
   35,541x = 5,871,237,376
5. Step 5: Solve for x
   x = 5,871,237,376/35,541
6. Step 6: Final answer
   x = 165,196.18