Finding the Third Proportional to 65,710 and 102,944

Step by Step Solution

1. Step 1: Write the proportion equation
   65,710 : 102,944 = 102,944 : x
2. Step 2: Convert to fraction form
   65,710/102,944 = 102,944/x
3. Step 3: Cross multiply
   65,710x = 102,944 × 102,944
4. Step 4: Simplify right side
   65,710x = 10,597,467,136
5. Step 5: Solve for x
   x = 10,597,467,136/65,710
6. Step 6: Final answer
   x = 161,276.32