Finding the Third Proportional to 37,627 and 78,368

Step by Step Solution

1. Step 1: Write the proportion equation
   37,627 : 78,368 = 78,368 : x
2. Step 2: Convert to fraction form
   37,627/78,368 = 78,368/x
3. Step 3: Cross multiply
   37,627x = 78,368 × 78,368
4. Step 4: Simplify right side
   37,627x = 6,141,543,424
5. Step 5: Solve for x
   x = 6,141,543,424/37,627
6. Step 6: Final answer
   x = 163,221.71