Finding the Third Proportional to 37,776 and 55,576

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 55,576 = 55,576 : x
2. Step 2: Convert to fraction form
   37,776/55,576 = 55,576/x
3. Step 3: Cross multiply
   37,776x = 55,576 × 55,576
4. Step 4: Simplify right side
   37,776x = 3,088,691,776
5. Step 5: Solve for x
   x = 3,088,691,776/37,776
6. Step 6: Final answer
   x = 81,763.34