Finding the Third Proportional to 33,046 and 69,322

Step by Step Solution

1. Step 1: Write the proportion equation
   33,046 : 69,322 = 69,322 : x
2. Step 2: Convert to fraction form
   33,046/69,322 = 69,322/x
3. Step 3: Cross multiply
   33,046x = 69,322 × 69,322
4. Step 4: Simplify right side
   33,046x = 4,805,539,684
5. Step 5: Solve for x
   x = 4,805,539,684/33,046
6. Step 6: Final answer
   x = 145,419.71