Finding the Third Proportional to 14,419.50 and 31,970.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,419.50 : 31,970.25 = 31,970.25 : x
2. Step 2: Convert to fraction form
   14,419.50/31,970.25 = 31,970.25/x
3. Step 3: Cross multiply
   14,419.50x = 31,970.25 × 31,970.25
4. Step 4: Simplify right side
   14,419.50x = 1,022,096,885.06
5. Step 5: Solve for x
   x = 1,022,096,885.06/14,419.50
6. Step 6: Final answer
   x = 70,882.96