Finding the Third Proportional to 12,277.50 and 19,037.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,277.50 : 19,037.25 = 19,037.25 : x
2. Step 2: Convert to fraction form
   12,277.50/19,037.25 = 19,037.25/x
3. Step 3: Cross multiply
   12,277.50x = 19,037.25 × 19,037.25
4. Step 4: Simplify right side
   12,277.50x = 362,416,887.56
5. Step 5: Solve for x
   x = 362,416,887.56/12,277.50
6. Step 6: Final answer
   x = 29,518.79