Finding the Third Proportional to 37,829 and 57,270

Step by Step Solution

1. Step 1: Write the proportion equation
   37,829 : 57,270 = 57,270 : x
2. Step 2: Convert to fraction form
   37,829/57,270 = 57,270/x
3. Step 3: Cross multiply
   37,829x = 57,270 × 57,270
4. Step 4: Simplify right side
   37,829x = 3,279,852,900
5. Step 5: Solve for x
   x = 3,279,852,900/37,829
6. Step 6: Final answer
   x = 86,702.08