Finding the Third Proportional to 32,314 and 69,818

Step by Step Solution

1. Step 1: Write the proportion equation
   32,314 : 69,818 = 69,818 : x
2. Step 2: Convert to fraction form
   32,314/69,818 = 69,818/x
3. Step 3: Cross multiply
   32,314x = 69,818 × 69,818
4. Step 4: Simplify right side
   32,314x = 4,874,553,124
5. Step 5: Solve for x
   x = 4,874,553,124/32,314
6. Step 6: Final answer
   x = 150,849.57