Finding the Third Proportional to 18,214.50 and 37,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,214.50 : 37,096.50 = 37,096.50 : x
2. Step 2: Convert to fraction form
   18,214.50/37,096.50 = 37,096.50/x
3. Step 3: Cross multiply
   18,214.50x = 37,096.50 × 37,096.50
4. Step 4: Simplify right side
   18,214.50x = 1,376,150,312.25
5. Step 5: Solve for x
   x = 1,376,150,312.25/18,214.50
6. Step 6: Final answer
   x = 75,552.46