Finding the Third Proportional to 9,378 and 19,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378 : 19,807.50 = 19,807.50 : x
2. Step 2: Convert to fraction form
   9,378/19,807.50 = 19,807.50/x
3. Step 3: Cross multiply
   9,378x = 19,807.50 × 19,807.50
4. Step 4: Simplify right side
   9,378x = 392,337,056.25
5. Step 5: Solve for x
   x = 392,337,056.25/9,378
6. Step 6: Final answer
   x = 41,835.90