Finding the Third Proportional to 35,874 and 74,700

Step by Step Solution

1. Step 1: Write the proportion equation
   35,874 : 74,700 = 74,700 : x
2. Step 2: Convert to fraction form
   35,874/74,700 = 74,700/x
3. Step 3: Cross multiply
   35,874x = 74,700 × 74,700
4. Step 4: Simplify right side
   35,874x = 5,580,090,000
5. Step 5: Solve for x
   x = 5,580,090,000/35,874
6. Step 6: Final answer
   x = 155,546.91