Finding the Third Proportional to 15,785 and 32,114

Step by Step Solution

1. Step 1: Write the proportion equation
   15,785 : 32,114 = 32,114 : x
2. Step 2: Convert to fraction form
   15,785/32,114 = 32,114/x
3. Step 3: Cross multiply
   15,785x = 32,114 × 32,114
4. Step 4: Simplify right side
   15,785x = 1,031,308,996
5. Step 5: Solve for x
   x = 1,031,308,996/15,785
6. Step 6: Final answer
   x = 65,334.75