Finding the Third Proportional to 37,189 and 56,656

Step by Step Solution

1. Step 1: Write the proportion equation
   37,189 : 56,656 = 56,656 : x
2. Step 2: Convert to fraction form
   37,189/56,656 = 56,656/x
3. Step 3: Cross multiply
   37,189x = 56,656 × 56,656
4. Step 4: Simplify right side
   37,189x = 3,209,902,336
5. Step 5: Solve for x
   x = 3,209,902,336/37,189
6. Step 6: Final answer
   x = 86,313.22