Finding the Third Proportional to 16,006.50 and 22,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,006.50 : 22,531.50 = 22,531.50 : x
2. Step 2: Convert to fraction form
   16,006.50/22,531.50 = 22,531.50/x
3. Step 3: Cross multiply
   16,006.50x = 22,531.50 × 22,531.50
4. Step 4: Simplify right side
   16,006.50x = 507,668,492.25
5. Step 5: Solve for x
   x = 507,668,492.25/16,006.50
6. Step 6: Final answer
   x = 31,716.40