Finding the Third Proportional to 29,757 and 43,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,757 : 43,819.50 = 43,819.50 : x
2. Step 2: Convert to fraction form
   29,757/43,819.50 = 43,819.50/x
3. Step 3: Cross multiply
   29,757x = 43,819.50 × 43,819.50
4. Step 4: Simplify right side
   29,757x = 1,920,148,580.25
5. Step 5: Solve for x
   x = 1,920,148,580.25/29,757
6. Step 6: Final answer
   x = 64,527.63