Finding the Third Proportional to 37,446 and 56,406

Step by Step Solution

1. Step 1: Write the proportion equation
   37,446 : 56,406 = 56,406 : x
2. Step 2: Convert to fraction form
   37,446/56,406 = 56,406/x
3. Step 3: Cross multiply
   37,446x = 56,406 × 56,406
4. Step 4: Simplify right side
   37,446x = 3,181,636,836
5. Step 5: Solve for x
   x = 3,181,636,836/37,446
6. Step 6: Final answer
   x = 84,966