Finding the Third Proportional to 32,275 and 69,494

Step by Step Solution

1. Step 1: Write the proportion equation
   32,275 : 69,494 = 69,494 : x
2. Step 2: Convert to fraction form
   32,275/69,494 = 69,494/x
3. Step 3: Cross multiply
   32,275x = 69,494 × 69,494
4. Step 4: Simplify right side
   32,275x = 4,829,416,036
5. Step 5: Solve for x
   x = 4,829,416,036/32,275
6. Step 6: Final answer
   x = 149,633.34