Finding the Third Proportional to 37,886 and 56,095

Step by Step Solution

1. Step 1: Write the proportion equation
   37,886 : 56,095 = 56,095 : x
2. Step 2: Convert to fraction form
   37,886/56,095 = 56,095/x
3. Step 3: Cross multiply
   37,886x = 56,095 × 56,095
4. Step 4: Simplify right side
   37,886x = 3,146,649,025
5. Step 5: Solve for x
   x = 3,146,649,025/37,886
6. Step 6: Final answer
   x = 83,055.72