Finding the Third Proportional to 37,566 and 55,215

Step by Step Solution

1. Step 1: Write the proportion equation
   37,566 : 55,215 = 55,215 : x
2. Step 2: Convert to fraction form
   37,566/55,215 = 55,215/x
3. Step 3: Cross multiply
   37,566x = 55,215 × 55,215
4. Step 4: Simplify right side
   37,566x = 3,048,696,225
5. Step 5: Solve for x
   x = 3,048,696,225/37,566
6. Step 6: Final answer
   x = 81,155.73