Finding the Third Proportional to 37,884 and 83,154

Step by Step Solution

1. Step 1: Write the proportion equation
   37,884 : 83,154 = 83,154 : x
2. Step 2: Convert to fraction form
   37,884/83,154 = 83,154/x
3. Step 3: Cross multiply
   37,884x = 83,154 × 83,154
4. Step 4: Simplify right side
   37,884x = 6,914,587,716
5. Step 5: Solve for x
   x = 6,914,587,716/37,884
6. Step 6: Final answer
   x = 182,520.00