Finding the Third Proportional to 36,052 and 77,085

Step by Step Solution

1. Step 1: Write the proportion equation
   36,052 : 77,085 = 77,085 : x
2. Step 2: Convert to fraction form
   36,052/77,085 = 77,085/x
3. Step 3: Cross multiply
   36,052x = 77,085 × 77,085
4. Step 4: Simplify right side
   36,052x = 5,942,097,225
5. Step 5: Solve for x
   x = 5,942,097,225/36,052
6. Step 6: Final answer
   x = 164,820.18