Finding the Third Proportional to 37,670 and 55,370

Step by Step Solution

1. Step 1: Write the proportion equation
   37,670 : 55,370 = 55,370 : x
2. Step 2: Convert to fraction form
   37,670/55,370 = 55,370/x
3. Step 3: Cross multiply
   37,670x = 55,370 × 55,370
4. Step 4: Simplify right side
   37,670x = 3,065,836,900
5. Step 5: Solve for x
   x = 3,065,836,900/37,670
6. Step 6: Final answer
   x = 81,386.70