Finding the Third Proportional to 37,947 and 83,152

Step by Step Solution

1. Step 1: Write the proportion equation
   37,947 : 83,152 = 83,152 : x
2. Step 2: Convert to fraction form
   37,947/83,152 = 83,152/x
3. Step 3: Cross multiply
   37,947x = 83,152 × 83,152
4. Step 4: Simplify right side
   37,947x = 6,914,255,104
5. Step 5: Solve for x
   x = 6,914,255,104/37,947
6. Step 6: Final answer
   x = 182,208.21