Finding the Third Proportional to 19,757.25 and 37,688.63

Step by Step Solution

1. Step 1: Write the proportion equation
   19,757.25 : 37,688.63 = 37,688.63 : x
2. Step 2: Convert to fraction form
   19,757.25/37,688.63 = 37,688.63/x
3. Step 3: Cross multiply
   19,757.25x = 37,688.63 × 37,688.63
4. Step 4: Simplify right side
   19,757.25x = 1,420,432,454.39
5. Step 5: Solve for x
   x = 1,420,432,454.39/19,757.25
6. Step 6: Final answer
   x = 71,894.24