Finding the Third Proportional to 37,772 and 55,613

Step by Step Solution

1. Step 1: Write the proportion equation
   37,772 : 55,613 = 55,613 : x
2. Step 2: Convert to fraction form
   37,772/55,613 = 55,613/x
3. Step 3: Cross multiply
   37,772x = 55,613 × 55,613
4. Step 4: Simplify right side
   37,772x = 3,092,805,769
5. Step 5: Solve for x
   x = 3,092,805,769/37,772
6. Step 6: Final answer
   x = 81,880.91