Finding the Third Proportional to 37,478 and 56,464

Step by Step Solution

1. Step 1: Write the proportion equation
   37,478 : 56,464 = 56,464 : x
2. Step 2: Convert to fraction form
   37,478/56,464 = 56,464/x
3. Step 3: Cross multiply
   37,478x = 56,464 × 56,464
4. Step 4: Simplify right side
   37,478x = 3,188,183,296
5. Step 5: Solve for x
   x = 3,188,183,296/37,478
6. Step 6: Final answer
   x = 85,068.13