Finding the Third Proportional to 16,434 and 38,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,434 : 38,587.50 = 38,587.50 : x
2. Step 2: Convert to fraction form
   16,434/38,587.50 = 38,587.50/x
3. Step 3: Cross multiply
   16,434x = 38,587.50 × 38,587.50
4. Step 4: Simplify right side
   16,434x = 1,488,995,156.25
5. Step 5: Solve for x
   x = 1,488,995,156.25/16,434
6. Step 6: Final answer
   x = 90,604.55