Finding the Third Proportional to 15,779.81 and 24,426.56

Step by Step Solution

1. Step 1: Write the proportion equation
   15,779.81 : 24,426.56 = 24,426.56 : x
2. Step 2: Convert to fraction form
   15,779.81/24,426.56 = 24,426.56/x
3. Step 3: Cross multiply
   15,779.81x = 24,426.56 × 24,426.56
4. Step 4: Simplify right side
   15,779.81x = 596,656,955.57
5. Step 5: Solve for x
   x = 596,656,955.57/15,779.81
6. Step 6: Final answer
   x = 37,811.41