Finding the Third Proportional to 67,760 and 100,657

Step by Step Solution

1. Step 1: Write the proportion equation
   67,760 : 100,657 = 100,657 : x
2. Step 2: Convert to fraction form
   67,760/100,657 = 100,657/x
3. Step 3: Cross multiply
   67,760x = 100,657 × 100,657
4. Step 4: Simplify right side
   67,760x = 10,131,831,649
5. Step 5: Solve for x
   x = 10,131,831,649/67,760
6. Step 6: Final answer
   x = 149,525.26