Finding the Third Proportional to 31,809 and 74,280

Step by Step Solution

1. Step 1: Write the proportion equation
   31,809 : 74,280 = 74,280 : x
2. Step 2: Convert to fraction form
   31,809/74,280 = 74,280/x
3. Step 3: Cross multiply
   31,809x = 74,280 × 74,280
4. Step 4: Simplify right side
   31,809x = 5,517,518,400
5. Step 5: Solve for x
   x = 5,517,518,400/31,809
6. Step 6: Final answer
   x = 173,457.78