Finding the Third Proportional to 32,106 and 69,558

Step by Step Solution

1. Step 1: Write the proportion equation
   32,106 : 69,558 = 69,558 : x
2. Step 2: Convert to fraction form
   32,106/69,558 = 69,558/x
3. Step 3: Cross multiply
   32,106x = 69,558 × 69,558
4. Step 4: Simplify right side
   32,106x = 4,838,315,364
5. Step 5: Solve for x
   x = 4,838,315,364/32,106
6. Step 6: Final answer
   x = 150,698.17