Finding the Third Proportional to 16,281 and 38,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,281 : 38,758.50 = 38,758.50 : x
2. Step 2: Convert to fraction form
   16,281/38,758.50 = 38,758.50/x
3. Step 3: Cross multiply
   16,281x = 38,758.50 × 38,758.50
4. Step 4: Simplify right side
   16,281x = 1,502,221,322.25
5. Step 5: Solve for x
   x = 1,502,221,322.25/16,281
6. Step 6: Final answer
   x = 92,268.37