Finding the Third Proportional to 37,186 and 52,131

Step by Step Solution

1. Step 1: Write the proportion equation
   37,186 : 52,131 = 52,131 : x
2. Step 2: Convert to fraction form
   37,186/52,131 = 52,131/x
3. Step 3: Cross multiply
   37,186x = 52,131 × 52,131
4. Step 4: Simplify right side
   37,186x = 2,717,641,161
5. Step 5: Solve for x
   x = 2,717,641,161/37,186
6. Step 6: Final answer
   x = 73,082.37