Finding the Third Proportional to 15,532 and 34,196

Step by Step Solution

1. Step 1: Write the proportion equation
   15,532 : 34,196 = 34,196 : x
2. Step 2: Convert to fraction form
   15,532/34,196 = 34,196/x
3. Step 3: Cross multiply
   15,532x = 34,196 × 34,196
4. Step 4: Simplify right side
   15,532x = 1,169,366,416
5. Step 5: Solve for x
   x = 1,169,366,416/15,532
6. Step 6: Final answer
   x = 75,287.56