Finding the Third Proportional to 23,186 and 35,221

Step by Step Solution

1. Step 1: Write the proportion equation
   23,186 : 35,221 = 35,221 : x
2. Step 2: Convert to fraction form
   23,186/35,221 = 35,221/x
3. Step 3: Cross multiply
   23,186x = 35,221 × 35,221
4. Step 4: Simplify right side
   23,186x = 1,240,518,841
5. Step 5: Solve for x
   x = 1,240,518,841/23,186
6. Step 6: Final answer
   x = 53,502.93