Finding the Third Proportional to 34,380 and 74,388

Step by Step Solution

1. Step 1: Write the proportion equation
   34,380 : 74,388 = 74,388 : x
2. Step 2: Convert to fraction form
   34,380/74,388 = 74,388/x
3. Step 3: Cross multiply
   34,380x = 74,388 × 74,388
4. Step 4: Simplify right side
   34,380x = 5,533,574,544
5. Step 5: Solve for x
   x = 5,533,574,544/34,380
6. Step 6: Final answer
   x = 160,953.30