Finding the Third Proportional to 15,784 and 32,112

Step by Step Solution

1. Step 1: Write the proportion equation
   15,784 : 32,112 = 32,112 : x
2. Step 2: Convert to fraction form
   15,784/32,112 = 32,112/x
3. Step 3: Cross multiply
   15,784x = 32,112 × 32,112
4. Step 4: Simplify right side
   15,784x = 1,031,180,544
5. Step 5: Solve for x
   x = 1,031,180,544/15,784
6. Step 6: Final answer
   x = 65,330.75