Finding the Third Proportional to 32,805 and 77,019

Step by Step Solution

1. Step 1: Write the proportion equation
   32,805 : 77,019 = 77,019 : x
2. Step 2: Convert to fraction form
   32,805/77,019 = 77,019/x
3. Step 3: Cross multiply
   32,805x = 77,019 × 77,019
4. Step 4: Simplify right side
   32,805x = 5,931,926,361
5. Step 5: Solve for x
   x = 5,931,926,361/32,805
6. Step 6: Final answer
   x = 180,823.85