Finding the Third Proportional to 31,914 and 74,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,914 : 74,137.50 = 74,137.50 : x
2. Step 2: Convert to fraction form
   31,914/74,137.50 = 74,137.50/x
3. Step 3: Cross multiply
   31,914x = 74,137.50 × 74,137.50
4. Step 4: Simplify right side
   31,914x = 5,496,368,906.25
5. Step 5: Solve for x
   x = 5,496,368,906.25/31,914
6. Step 6: Final answer
   x = 172,224.38