Finding the Third Proportional to 37,438 and 56,546

Step by Step Solution

1. Step 1: Write the proportion equation
   37,438 : 56,546 = 56,546 : x
2. Step 2: Convert to fraction form
   37,438/56,546 = 56,546/x
3. Step 3: Cross multiply
   37,438x = 56,546 × 56,546
4. Step 4: Simplify right side
   37,438x = 3,197,450,116
5. Step 5: Solve for x
   x = 3,197,450,116/37,438
6. Step 6: Final answer
   x = 85,406.54