Finding the Third Proportional to 42,516 and 86,760

Step by Step Solution

1. Step 1: Write the proportion equation
   42,516 : 86,760 = 86,760 : x
2. Step 2: Convert to fraction form
   42,516/86,760 = 86,760/x
3. Step 3: Cross multiply
   42,516x = 86,760 × 86,760
4. Step 4: Simplify right side
   42,516x = 7,527,297,600
5. Step 5: Solve for x
   x = 7,527,297,600/42,516
6. Step 6: Final answer
   x = 177,046.23