Finding the Third Proportional to 14,561 and 31,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,561 : 31,199.50 = 31,199.50 : x
2. Step 2: Convert to fraction form
   14,561/31,199.50 = 31,199.50/x
3. Step 3: Cross multiply
   14,561x = 31,199.50 × 31,199.50
4. Step 4: Simplify right side
   14,561x = 973,408,800.25
5. Step 5: Solve for x
   x = 973,408,800.25/14,561
6. Step 6: Final answer
   x = 66,850.41