Finding the Third Proportional to 37,296 and 52,208

Step by Step Solution

1. Step 1: Write the proportion equation
   37,296 : 52,208 = 52,208 : x
2. Step 2: Convert to fraction form
   37,296/52,208 = 52,208/x
3. Step 3: Cross multiply
   37,296x = 52,208 × 52,208
4. Step 4: Simplify right side
   37,296x = 2,725,675,264
5. Step 5: Solve for x
   x = 2,725,675,264/37,296
6. Step 6: Final answer
   x = 73,082.24