Finding the Third Proportional to 16,434 and 30,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,434 : 30,802.50 = 30,802.50 : x
2. Step 2: Convert to fraction form
   16,434/30,802.50 = 30,802.50/x
3. Step 3: Cross multiply
   16,434x = 30,802.50 × 30,802.50
4. Step 4: Simplify right side
   16,434x = 948,794,006.25
5. Step 5: Solve for x
   x = 948,794,006.25/16,434
6. Step 6: Final answer
   x = 57,733.60