Finding the Third Proportional to 37,468.50 and 78,401

Step by Step Solution

1. Step 1: Write the proportion equation
   37,468.50 : 78,401 = 78,401 : x
2. Step 2: Convert to fraction form
   37,468.50/78,401 = 78,401/x
3. Step 3: Cross multiply
   37,468.50x = 78,401 × 78,401
4. Step 4: Simplify right side
   37,468.50x = 6,146,716,801
5. Step 5: Solve for x
   x = 6,146,716,801/37,468.50
6. Step 6: Final answer
   x = 164,050.25