Finding the Third Proportional to 23,496 and 53,196

Step by Step Solution

1. Step 1: Write the proportion equation
   23,496 : 53,196 = 53,196 : x
2. Step 2: Convert to fraction form
   23,496/53,196 = 53,196/x
3. Step 3: Cross multiply
   23,496x = 53,196 × 53,196
4. Step 4: Simplify right side
   23,496x = 2,829,814,416
5. Step 5: Solve for x
   x = 2,829,814,416/23,496
6. Step 6: Final answer
   x = 120,438.13