Finding the Third Proportional to 37,546 and 56,208

Step by Step Solution

1. Step 1: Write the proportion equation
   37,546 : 56,208 = 56,208 : x
2. Step 2: Convert to fraction form
   37,546/56,208 = 56,208/x
3. Step 3: Cross multiply
   37,546x = 56,208 × 56,208
4. Step 4: Simplify right side
   37,546x = 3,159,339,264
5. Step 5: Solve for x
   x = 3,159,339,264/37,546
6. Step 6: Final answer
   x = 84,145.83