Finding the Third Proportional to 51,082 and 78,895

Step by Step Solution

1. Step 1: Write the proportion equation
   51,082 : 78,895 = 78,895 : x
2. Step 2: Convert to fraction form
   51,082/78,895 = 78,895/x
3. Step 3: Cross multiply
   51,082x = 78,895 × 78,895
4. Step 4: Simplify right side
   51,082x = 6,224,421,025
5. Step 5: Solve for x
   x = 6,224,421,025/51,082
6. Step 6: Final answer
   x = 121,851.55