Finding the Third Proportional to 37,516 and 54,114

Step by Step Solution

1. Step 1: Write the proportion equation
   37,516 : 54,114 = 54,114 : x
2. Step 2: Convert to fraction form
   37,516/54,114 = 54,114/x
3. Step 3: Cross multiply
   37,516x = 54,114 × 54,114
4. Step 4: Simplify right side
   37,516x = 2,928,324,996
5. Step 5: Solve for x
   x = 2,928,324,996/37,516
6. Step 6: Final answer
   x = 78,055.36