Finding the Third Proportional to 32,109 and 69,159

Step by Step Solution

1. Step 1: Write the proportion equation
   32,109 : 69,159 = 69,159 : x
2. Step 2: Convert to fraction form
   32,109/69,159 = 69,159/x
3. Step 3: Cross multiply
   32,109x = 69,159 × 69,159
4. Step 4: Simplify right side
   32,109x = 4,782,967,281
5. Step 5: Solve for x
   x = 4,782,967,281/32,109
6. Step 6: Final answer
   x = 148,960.33