Finding the Third Proportional to 37,468 and 78,399.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,468 : 78,399.75 = 78,399.75 : x
2. Step 2: Convert to fraction form
   37,468/78,399.75 = 78,399.75/x
3. Step 3: Cross multiply
   37,468x = 78,399.75 × 78,399.75
4. Step 4: Simplify right side
   37,468x = 6,146,520,800.06
5. Step 5: Solve for x
   x = 6,146,520,800.06/37,468
6. Step 6: Final answer
   x = 164,047.21