Finding the Third Proportional to 31,971 and 74,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,971 : 74,674.50 = 74,674.50 : x
2. Step 2: Convert to fraction form
   31,971/74,674.50 = 74,674.50/x
3. Step 3: Cross multiply
   31,971x = 74,674.50 × 74,674.50
4. Step 4: Simplify right side
   31,971x = 5,576,280,950.25
5. Step 5: Solve for x
   x = 5,576,280,950.25/31,971
6. Step 6: Final answer
   x = 174,416.84