Finding the Third Proportional to 10,074.50 and 19,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.50 : 19,157.50 = 19,157.50 : x
2. Step 2: Convert to fraction form
   10,074.50/19,157.50 = 19,157.50/x
3. Step 3: Cross multiply
   10,074.50x = 19,157.50 × 19,157.50
4. Step 4: Simplify right side
   10,074.50x = 367,009,806.25
5. Step 5: Solve for x
   x = 367,009,806.25/10,074.50
6. Step 6: Final answer
   x = 36,429.58