Finding the Third Proportional to 37,776 and 56,754

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 56,754 = 56,754 : x
2. Step 2: Convert to fraction form
   37,776/56,754 = 56,754/x
3. Step 3: Cross multiply
   37,776x = 56,754 × 56,754
4. Step 4: Simplify right side
   37,776x = 3,221,016,516
5. Step 5: Solve for x
   x = 3,221,016,516/37,776
6. Step 6: Final answer
   x = 85,266.21