Finding the Third Proportional to 37,776 and 55,512

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 55,512 = 55,512 : x
2. Step 2: Convert to fraction form
   37,776/55,512 = 55,512/x
3. Step 3: Cross multiply
   37,776x = 55,512 × 55,512
4. Step 4: Simplify right side
   37,776x = 3,081,582,144
5. Step 5: Solve for x
   x = 3,081,582,144/37,776
6. Step 6: Final answer
   x = 81,575.13