Finding the Third Proportional to 37,864 and 53,095

Step by Step Solution

1. Step 1: Write the proportion equation
   37,864 : 53,095 = 53,095 : x
2. Step 2: Convert to fraction form
   37,864/53,095 = 53,095/x
3. Step 3: Cross multiply
   37,864x = 53,095 × 53,095
4. Step 4: Simplify right side
   37,864x = 2,819,079,025
5. Step 5: Solve for x
   x = 2,819,079,025/37,864
6. Step 6: Final answer
   x = 74,452.75