Finding the Third Proportional to 37,561 and 56,224

Step by Step Solution

1. Step 1: Write the proportion equation
   37,561 : 56,224 = 56,224 : x
2. Step 2: Convert to fraction form
   37,561/56,224 = 56,224/x
3. Step 3: Cross multiply
   37,561x = 56,224 × 56,224
4. Step 4: Simplify right side
   37,561x = 3,161,138,176
5. Step 5: Solve for x
   x = 3,161,138,176/37,561
6. Step 6: Final answer
   x = 84,160.12