Finding the Third Proportional to 37,159 and 56,449

Step by Step Solution

1. Step 1: Write the proportion equation
   37,159 : 56,449 = 56,449 : x
2. Step 2: Convert to fraction form
   37,159/56,449 = 56,449/x
3. Step 3: Cross multiply
   37,159x = 56,449 × 56,449
4. Step 4: Simplify right side
   37,159x = 3,186,489,601
5. Step 5: Solve for x
   x = 3,186,489,601/37,159
6. Step 6: Final answer
   x = 85,752.84