Finding the Third Proportional to 10,300.50 and 27,924.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.50 : 27,924.75 = 27,924.75 : x
2. Step 2: Convert to fraction form
   10,300.50/27,924.75 = 27,924.75/x
3. Step 3: Cross multiply
   10,300.50x = 27,924.75 × 27,924.75
4. Step 4: Simplify right side
   10,300.50x = 779,791,662.56
5. Step 5: Solve for x
   x = 779,791,662.56/10,300.50
6. Step 6: Final answer
   x = 75,704.25