Finding the Third Proportional to 69,692 and 101,616

Step by Step Solution

1. Step 1: Write the proportion equation
   69,692 : 101,616 = 101,616 : x
2. Step 2: Convert to fraction form
   69,692/101,616 = 101,616/x
3. Step 3: Cross multiply
   69,692x = 101,616 × 101,616
4. Step 4: Simplify right side
   69,692x = 10,325,811,456
5. Step 5: Solve for x
   x = 10,325,811,456/69,692
6. Step 6: Final answer
   x = 148,163.51