Finding the Third Proportional to 37,658 and 56,491

Step by Step Solution

1. Step 1: Write the proportion equation
   37,658 : 56,491 = 56,491 : x
2. Step 2: Convert to fraction form
   37,658/56,491 = 56,491/x
3. Step 3: Cross multiply
   37,658x = 56,491 × 56,491
4. Step 4: Simplify right side
   37,658x = 3,191,233,081
5. Step 5: Solve for x
   x = 3,191,233,081/37,658
6. Step 6: Final answer
   x = 84,742.50