Finding the Third Proportional to 11,704.50 and 19,374.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,704.50 : 19,374.75 = 19,374.75 : x
2. Step 2: Convert to fraction form
   11,704.50/19,374.75 = 19,374.75/x
3. Step 3: Cross multiply
   11,704.50x = 19,374.75 × 19,374.75
4. Step 4: Simplify right side
   11,704.50x = 375,380,937.56
5. Step 5: Solve for x
   x = 375,380,937.56/11,704.50
6. Step 6: Final answer
   x = 32,071.51