Finding the Third Proportional to 39,747 and 53,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,747 : 53,788.50 = 53,788.50 : x
2. Step 2: Convert to fraction form
   39,747/53,788.50 = 53,788.50/x
3. Step 3: Cross multiply
   39,747x = 53,788.50 × 53,788.50
4. Step 4: Simplify right side
   39,747x = 2,893,202,732.25
5. Step 5: Solve for x
   x = 2,893,202,732.25/39,747
6. Step 6: Final answer
   x = 72,790.47