Finding the Third Proportional to 37,642 and 56,468

Step by Step Solution

1. Step 1: Write the proportion equation
   37,642 : 56,468 = 56,468 : x
2. Step 2: Convert to fraction form
   37,642/56,468 = 56,468/x
3. Step 3: Cross multiply
   37,642x = 56,468 × 56,468
4. Step 4: Simplify right side
   37,642x = 3,188,635,024
5. Step 5: Solve for x
   x = 3,188,635,024/37,642
6. Step 6: Final answer
   x = 84,709.50