Finding the Third Proportional to 25,720 and 34,196

Step by Step Solution

1. Step 1: Write the proportion equation
   25,720 : 34,196 = 34,196 : x
2. Step 2: Convert to fraction form
   25,720/34,196 = 34,196/x
3. Step 3: Cross multiply
   25,720x = 34,196 × 34,196
4. Step 4: Simplify right side
   25,720x = 1,169,366,416
5. Step 5: Solve for x
   x = 1,169,366,416/25,720
6. Step 6: Final answer
   x = 45,465.26