Finding the Third Proportional to 37,226 and 55,846

Step by Step Solution

1. Step 1: Write the proportion equation
   37,226 : 55,846 = 55,846 : x
2. Step 2: Convert to fraction form
   37,226/55,846 = 55,846/x
3. Step 3: Cross multiply
   37,226x = 55,846 × 55,846
4. Step 4: Simplify right side
   37,226x = 3,118,775,716
5. Step 5: Solve for x
   x = 3,118,775,716/37,226
6. Step 6: Final answer
   x = 83,779.50