Finding the Third Proportional to 10,012.50 and 23,178.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.50 : 23,178.38 = 23,178.38 : x
2. Step 2: Convert to fraction form
   10,012.50/23,178.38 = 23,178.38/x
3. Step 3: Cross multiply
   10,012.50x = 23,178.38 × 23,178.38
4. Step 4: Simplify right side
   10,012.50x = 537,237,067.64
5. Step 5: Solve for x
   x = 537,237,067.64/10,012.50
6. Step 6: Final answer
   x = 53,656.64