Finding the Third Proportional to 37,202 and 52,147

Step by Step Solution

1. Step 1: Write the proportion equation
   37,202 : 52,147 = 52,147 : x
2. Step 2: Convert to fraction form
   37,202/52,147 = 52,147/x
3. Step 3: Cross multiply
   37,202x = 52,147 × 52,147
4. Step 4: Simplify right side
   37,202x = 2,719,309,609
5. Step 5: Solve for x
   x = 2,719,309,609/37,202
6. Step 6: Final answer
   x = 73,095.79