Finding the Third Proportional to 15,164 and 32,434

Step by Step Solution

1. Step 1: Write the proportion equation
   15,164 : 32,434 = 32,434 : x
2. Step 2: Convert to fraction form
   15,164/32,434 = 32,434/x
3. Step 3: Cross multiply
   15,164x = 32,434 × 32,434
4. Step 4: Simplify right side
   15,164x = 1,051,964,356
5. Step 5: Solve for x
   x = 1,051,964,356/15,164
6. Step 6: Final answer
   x = 69,372.48