Finding the Third Proportional to 37,680 and 51,174

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680 : 51,174 = 51,174 : x
2. Step 2: Convert to fraction form
   37,680/51,174 = 51,174/x
3. Step 3: Cross multiply
   37,680x = 51,174 × 51,174
4. Step 4: Simplify right side
   37,680x = 2,618,778,276
5. Step 5: Solve for x
   x = 2,618,778,276/37,680
6. Step 6: Final answer
   x = 69,500.49