Finding the Third Proportional to 37,196 and 52,145

Step by Step Solution

1. Step 1: Write the proportion equation
   37,196 : 52,145 = 52,145 : x
2. Step 2: Convert to fraction form
   37,196/52,145 = 52,145/x
3. Step 3: Cross multiply
   37,196x = 52,145 × 52,145
4. Step 4: Simplify right side
   37,196x = 2,719,101,025
5. Step 5: Solve for x
   x = 2,719,101,025/37,196
6. Step 6: Final answer
   x = 73,101.97