Finding the Third Proportional to 57,061 and 85,767

Step by Step Solution

1. Step 1: Write the proportion equation
   57,061 : 85,767 = 85,767 : x
2. Step 2: Convert to fraction form
   57,061/85,767 = 85,767/x
3. Step 3: Cross multiply
   57,061x = 85,767 × 85,767
4. Step 4: Simplify right side
   57,061x = 7,355,978,289
5. Step 5: Solve for x
   x = 7,355,978,289/57,061
6. Step 6: Final answer
   x = 128,914.29