Finding the Third Proportional to 37,401 and 56,097

Step by Step Solution

1. Step 1: Write the proportion equation
   37,401 : 56,097 = 56,097 : x
2. Step 2: Convert to fraction form
   37,401/56,097 = 56,097/x
3. Step 3: Cross multiply
   37,401x = 56,097 × 56,097
4. Step 4: Simplify right side
   37,401x = 3,146,873,409
5. Step 5: Solve for x
   x = 3,146,873,409/37,401
6. Step 6: Final answer
   x = 84,138.75