Finding the Third Proportional to 32,546 and 71,322

Step by Step Solution

1. Step 1: Write the proportion equation
   32,546 : 71,322 = 71,322 : x
2. Step 2: Convert to fraction form
   32,546/71,322 = 71,322/x
3. Step 3: Cross multiply
   32,546x = 71,322 × 71,322
4. Step 4: Simplify right side
   32,546x = 5,086,827,684
5. Step 5: Solve for x
   x = 5,086,827,684/32,546
6. Step 6: Final answer
   x = 156,296.56