Finding the Third Proportional to 37,776 and 77,190

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 77,190 = 77,190 : x
2. Step 2: Convert to fraction form
   37,776/77,190 = 77,190/x
3. Step 3: Cross multiply
   37,776x = 77,190 × 77,190
4. Step 4: Simplify right side
   37,776x = 5,958,296,100
5. Step 5: Solve for x
   x = 5,958,296,100/37,776
6. Step 6: Final answer
   x = 157,727.03