Finding the Third Proportional to 16,538.50 and 35,669

Step by Step Solution

1. Step 1: Write the proportion equation
   16,538.50 : 35,669 = 35,669 : x
2. Step 2: Convert to fraction form
   16,538.50/35,669 = 35,669/x
3. Step 3: Cross multiply
   16,538.50x = 35,669 × 35,669
4. Step 4: Simplify right side
   16,538.50x = 1,272,277,561
5. Step 5: Solve for x
   x = 1,272,277,561/16,538.50
6. Step 6: Final answer
   x = 76,928.23