Finding the Third Proportional to 14,184 and 31,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,184 : 31,162.50 = 31,162.50 : x
2. Step 2: Convert to fraction form
   14,184/31,162.50 = 31,162.50/x
3. Step 3: Cross multiply
   14,184x = 31,162.50 × 31,162.50
4. Step 4: Simplify right side
   14,184x = 971,101,406.25
5. Step 5: Solve for x
   x = 971,101,406.25/14,184
6. Step 6: Final answer
   x = 68,464.57