Finding the Third Proportional to 35,380 and 74,600

Step by Step Solution

1. Step 1: Write the proportion equation
   35,380 : 74,600 = 74,600 : x
2. Step 2: Convert to fraction form
   35,380/74,600 = 74,600/x
3. Step 3: Cross multiply
   35,380x = 74,600 × 74,600
4. Step 4: Simplify right side
   35,380x = 5,565,160,000
5. Step 5: Solve for x
   x = 5,565,160,000/35,380
6. Step 6: Final answer
   x = 157,296.78