Finding the Third Proportional to 23,188 and 35,224

Step by Step Solution

1. Step 1: Write the proportion equation
   23,188 : 35,224 = 35,224 : x
2. Step 2: Convert to fraction form
   23,188/35,224 = 35,224/x
3. Step 3: Cross multiply
   23,188x = 35,224 × 35,224
4. Step 4: Simplify right side
   23,188x = 1,240,730,176
5. Step 5: Solve for x
   x = 1,240,730,176/23,188
6. Step 6: Final answer
   x = 53,507.43