Finding the Third Proportional to 37,179 and 53,253

Step by Step Solution

1. Step 1: Write the proportion equation
   37,179 : 53,253 = 53,253 : x
2. Step 2: Convert to fraction form
   37,179/53,253 = 53,253/x
3. Step 3: Cross multiply
   37,179x = 53,253 × 53,253
4. Step 4: Simplify right side
   37,179x = 2,835,882,009
5. Step 5: Solve for x
   x = 2,835,882,009/37,179
6. Step 6: Final answer
   x = 76,276.45