Finding the Third Proportional to 37,886 and 83,380

Step by Step Solution

1. Step 1: Write the proportion equation
   37,886 : 83,380 = 83,380 : x
2. Step 2: Convert to fraction form
   37,886/83,380 = 83,380/x
3. Step 3: Cross multiply
   37,886x = 83,380 × 83,380
4. Step 4: Simplify right side
   37,886x = 6,952,224,400
5. Step 5: Solve for x
   x = 6,952,224,400/37,886
6. Step 6: Final answer
   x = 183,503.79