Finding the Third Proportional to 59,710 and 83,692

Step by Step Solution

1. Step 1: Write the proportion equation
   59,710 : 83,692 = 83,692 : x
2. Step 2: Convert to fraction form
   59,710/83,692 = 83,692/x
3. Step 3: Cross multiply
   59,710x = 83,692 × 83,692
4. Step 4: Simplify right side
   59,710x = 7,004,350,864
5. Step 5: Solve for x
   x = 7,004,350,864/59,710
6. Step 6: Final answer
   x = 117,306.16