Finding the Third Proportional to 37,092 and 79,584

Step by Step Solution

1. Step 1: Write the proportion equation
   37,092 : 79,584 = 79,584 : x
2. Step 2: Convert to fraction form
   37,092/79,584 = 79,584/x
3. Step 3: Cross multiply
   37,092x = 79,584 × 79,584
4. Step 4: Simplify right side
   37,092x = 6,333,613,056
5. Step 5: Solve for x
   x = 6,333,613,056/37,092
6. Step 6: Final answer
   x = 170,754.15