Finding the Third Proportional to 37,290 and 51,072

Step by Step Solution

1. Step 1: Write the proportion equation
   37,290 : 51,072 = 51,072 : x
2. Step 2: Convert to fraction form
   37,290/51,072 = 51,072/x
3. Step 3: Cross multiply
   37,290x = 51,072 × 51,072
4. Step 4: Simplify right side
   37,290x = 2,608,349,184
5. Step 5: Solve for x
   x = 2,608,349,184/37,290
6. Step 6: Final answer
   x = 69,947.69