Finding the Third Proportional to 23,020 and 35,196

Step by Step Solution

1. Step 1: Write the proportion equation
   23,020 : 35,196 = 35,196 : x
2. Step 2: Convert to fraction form
   23,020/35,196 = 35,196/x
3. Step 3: Cross multiply
   23,020x = 35,196 × 35,196
4. Step 4: Simplify right side
   23,020x = 1,238,758,416
5. Step 5: Solve for x
   x = 1,238,758,416/23,020
6. Step 6: Final answer
   x = 53,812.27