Finding the Third Proportional to 31,970 and 74,672

Step by Step Solution

1. Step 1: Write the proportion equation
   31,970 : 74,672 = 74,672 : x
2. Step 2: Convert to fraction form
   31,970/74,672 = 74,672/x
3. Step 3: Cross multiply
   31,970x = 74,672 × 74,672
4. Step 4: Simplify right side
   31,970x = 5,575,907,584
5. Step 5: Solve for x
   x = 5,575,907,584/31,970
6. Step 6: Final answer
   x = 174,410.62