Finding the Third Proportional to 35,694 and 74,196

Step by Step Solution

1. Step 1: Write the proportion equation
   35,694 : 74,196 = 74,196 : x
2. Step 2: Convert to fraction form
   35,694/74,196 = 74,196/x
3. Step 3: Cross multiply
   35,694x = 74,196 × 74,196
4. Step 4: Simplify right side
   35,694x = 5,505,046,416
5. Step 5: Solve for x
   x = 5,505,046,416/35,694
6. Step 6: Final answer
   x = 154,228.90