Finding the Third Proportional to 8,374.50 and 17,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,374.50 : 17,538.75 = 17,538.75 : x
2. Step 2: Convert to fraction form
   8,374.50/17,538.75 = 17,538.75/x
3. Step 3: Cross multiply
   8,374.50x = 17,538.75 × 17,538.75
4. Step 4: Simplify right side
   8,374.50x = 307,607,751.56
5. Step 5: Solve for x
   x = 307,607,751.56/8,374.50
6. Step 6: Final answer
   x = 36,731.48