Finding the Third Proportional to 14,283 and 33,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,283 : 33,763.50 = 33,763.50 : x
2. Step 2: Convert to fraction form
   14,283/33,763.50 = 33,763.50/x
3. Step 3: Cross multiply
   14,283x = 33,763.50 × 33,763.50
4. Step 4: Simplify right side
   14,283x = 1,139,973,932.25
5. Step 5: Solve for x
   x = 1,139,973,932.25/14,283
6. Step 6: Final answer
   x = 79,813.34