Finding the Third Proportional to 35,696 and 74,200

Step by Step Solution

1. Step 1: Write the proportion equation
   35,696 : 74,200 = 74,200 : x
2. Step 2: Convert to fraction form
   35,696/74,200 = 74,200/x
3. Step 3: Cross multiply
   35,696x = 74,200 × 74,200
4. Step 4: Simplify right side
   35,696x = 5,505,640,000
5. Step 5: Solve for x
   x = 5,505,640,000/35,696
6. Step 6: Final answer
   x = 154,236.89