Finding the Third Proportional to 69,684 and 101,604

Step by Step Solution

1. Step 1: Write the proportion equation
   69,684 : 101,604 = 101,604 : x
2. Step 2: Convert to fraction form
   69,684/101,604 = 101,604/x
3. Step 3: Cross multiply
   69,684x = 101,604 × 101,604
4. Step 4: Simplify right side
   69,684x = 10,323,372,816
5. Step 5: Solve for x
   x = 10,323,372,816/69,684
6. Step 6: Final answer
   x = 148,145.53