Finding the Third Proportional to 42,680 and 57,106

Step by Step Solution

1. Step 1: Write the proportion equation
   42,680 : 57,106 = 57,106 : x
2. Step 2: Convert to fraction form
   42,680/57,106 = 57,106/x
3. Step 3: Cross multiply
   42,680x = 57,106 × 57,106
4. Step 4: Simplify right side
   42,680x = 3,261,095,236
5. Step 5: Solve for x
   x = 3,261,095,236/42,680
6. Step 6: Final answer
   x = 76,408.04