Finding the Third Proportional to 12,535.59 and 19,346.77

Step by Step Solution

1. Step 1: Write the proportion equation
   12,535.59 : 19,346.77 = 19,346.77 : x
2. Step 2: Convert to fraction form
   12,535.59/19,346.77 = 19,346.77/x
3. Step 3: Cross multiply
   12,535.59x = 19,346.77 × 19,346.77
4. Step 4: Simplify right side
   12,535.59x = 374,297,340.15
5. Step 5: Solve for x
   x = 374,297,340.15/12,535.59
6. Step 6: Final answer
   x = 29,858.76