Finding the Third Proportional to 37,935 and 54,642

Step by Step Solution

1. Step 1: Write the proportion equation
   37,935 : 54,642 = 54,642 : x
2. Step 2: Convert to fraction form
   37,935/54,642 = 54,642/x
3. Step 3: Cross multiply
   37,935x = 54,642 × 54,642
4. Step 4: Simplify right side
   37,935x = 2,985,748,164
5. Step 5: Solve for x
   x = 2,985,748,164/37,935
6. Step 6: Final answer
   x = 78,706.95