Finding the Third Proportional to 37,716 and 55,536

Step by Step Solution

1. Step 1: Write the proportion equation
   37,716 : 55,536 = 55,536 : x
2. Step 2: Convert to fraction form
   37,716/55,536 = 55,536/x
3. Step 3: Cross multiply
   37,716x = 55,536 × 55,536
4. Step 4: Simplify right side
   37,716x = 3,084,247,296
5. Step 5: Solve for x
   x = 3,084,247,296/37,716
6. Step 6: Final answer
   x = 81,775.57