Finding the Third Proportional to 37,244 and 52,097

Step by Step Solution

1. Step 1: Write the proportion equation
   37,244 : 52,097 = 52,097 : x
2. Step 2: Convert to fraction form
   37,244/52,097 = 52,097/x
3. Step 3: Cross multiply
   37,244x = 52,097 × 52,097
4. Step 4: Simplify right side
   37,244x = 2,714,097,409
5. Step 5: Solve for x
   x = 2,714,097,409/37,244
6. Step 6: Final answer
   x = 72,873.41