Finding the Third Proportional to 16,735 and 25,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,735 : 25,927.50 = 25,927.50 : x
2. Step 2: Convert to fraction form
   16,735/25,927.50 = 25,927.50/x
3. Step 3: Cross multiply
   16,735x = 25,927.50 × 25,927.50
4. Step 4: Simplify right side
   16,735x = 672,235,256.25
5. Step 5: Solve for x
   x = 672,235,256.25/16,735
6. Step 6: Final answer
   x = 40,169.42