Finding the Third Proportional to 32,416 and 69,890

Step by Step Solution

1. Step 1: Write the proportion equation
   32,416 : 69,890 = 69,890 : x
2. Step 2: Convert to fraction form
   32,416/69,890 = 69,890/x
3. Step 3: Cross multiply
   32,416x = 69,890 × 69,890
4. Step 4: Simplify right side
   32,416x = 4,884,612,100
5. Step 5: Solve for x
   x = 4,884,612,100/32,416
6. Step 6: Final answer
   x = 150,685.22