Finding the Third Proportional to 37,293 and 54,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,293 : 54,178.50 = 54,178.50 : x
2. Step 2: Convert to fraction form
   37,293/54,178.50 = 54,178.50/x
3. Step 3: Cross multiply
   37,293x = 54,178.50 × 54,178.50
4. Step 4: Simplify right side
   37,293x = 2,935,309,862.25
5. Step 5: Solve for x
   x = 2,935,309,862.25/37,293
6. Step 6: Final answer
   x = 78,709.41