Finding the Third Proportional to 37,584 and 56,191

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 56,191 = 56,191 : x
2. Step 2: Convert to fraction form
   37,584/56,191 = 56,191/x
3. Step 3: Cross multiply
   37,584x = 56,191 × 56,191
4. Step 4: Simplify right side
   37,584x = 3,157,428,481
5. Step 5: Solve for x
   x = 3,157,428,481/37,584
6. Step 6: Final answer
   x = 84,009.91