Finding the Third Proportional to 37,627 and 55,316

Step by Step Solution

1. Step 1: Write the proportion equation
   37,627 : 55,316 = 55,316 : x
2. Step 2: Convert to fraction form
   37,627/55,316 = 55,316/x
3. Step 3: Cross multiply
   37,627x = 55,316 × 55,316
4. Step 4: Simplify right side
   37,627x = 3,059,859,856
5. Step 5: Solve for x
   x = 3,059,859,856/37,627
6. Step 6: Final answer
   x = 81,320.86