Finding the Third Proportional to 37,981 and 56,661

Step by Step Solution

1. Step 1: Write the proportion equation
   37,981 : 56,661 = 56,661 : x
2. Step 2: Convert to fraction form
   37,981/56,661 = 56,661/x
3. Step 3: Cross multiply
   37,981x = 56,661 × 56,661
4. Step 4: Simplify right side
   37,981x = 3,210,468,921
5. Step 5: Solve for x
   x = 3,210,468,921/37,981
6. Step 6: Final answer
   x = 84,528.29