Finding the Third Proportional to 32,137 and 69,208

Step by Step Solution

1. Step 1: Write the proportion equation
   32,137 : 69,208 = 69,208 : x
2. Step 2: Convert to fraction form
   32,137/69,208 = 69,208/x
3. Step 3: Cross multiply
   32,137x = 69,208 × 69,208
4. Step 4: Simplify right side
   32,137x = 4,789,747,264
5. Step 5: Solve for x
   x = 4,789,747,264/32,137
6. Step 6: Final answer
   x = 149,041.52