Finding the Third Proportional to 16,507 and 35,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,507 : 35,644.50 = 35,644.50 : x
2. Step 2: Convert to fraction form
   16,507/35,644.50 = 35,644.50/x
3. Step 3: Cross multiply
   16,507x = 35,644.50 × 35,644.50
4. Step 4: Simplify right side
   16,507x = 1,270,530,380.25
5. Step 5: Solve for x
   x = 1,270,530,380.25/16,507
6. Step 6: Final answer
   x = 76,969.19