Finding the Third Proportional to 9,688.50 and 19,134

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.50 : 19,134 = 19,134 : x
2. Step 2: Convert to fraction form
   9,688.50/19,134 = 19,134/x
3. Step 3: Cross multiply
   9,688.50x = 19,134 × 19,134
4. Step 4: Simplify right side
   9,688.50x = 366,109,956
5. Step 5: Solve for x
   x = 366,109,956/9,688.50
6. Step 6: Final answer
   x = 37,788.09