Finding the Third Proportional to 31,975 and 74,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,975 : 74,684.50 = 74,684.50 : x
2. Step 2: Convert to fraction form
   31,975/74,684.50 = 74,684.50/x
3. Step 3: Cross multiply
   31,975x = 74,684.50 × 74,684.50
4. Step 4: Simplify right side
   31,975x = 5,577,774,540.25
5. Step 5: Solve for x
   x = 5,577,774,540.25/31,975
6. Step 6: Final answer
   x = 174,441.74