Finding the Third Proportional to 37,291 and 78,902

Step by Step Solution

1. Step 1: Write the proportion equation
   37,291 : 78,902 = 78,902 : x
2. Step 2: Convert to fraction form
   37,291/78,902 = 78,902/x
3. Step 3: Cross multiply
   37,291x = 78,902 × 78,902
4. Step 4: Simplify right side
   37,291x = 6,225,525,604
5. Step 5: Solve for x
   x = 6,225,525,604/37,291
6. Step 6: Final answer
   x = 166,944.45