Finding the Third Proportional to 37,637 and 56,774

Step by Step Solution

1. Step 1: Write the proportion equation
   37,637 : 56,774 = 56,774 : x
2. Step 2: Convert to fraction form
   37,637/56,774 = 56,774/x
3. Step 3: Cross multiply
   37,637x = 56,774 × 56,774
4. Step 4: Simplify right side
   37,637x = 3,223,287,076
5. Step 5: Solve for x
   x = 3,223,287,076/37,637
6. Step 6: Final answer
   x = 85,641.45