Finding the Third Proportional to 38,184 and 82,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,184 : 82,009.50 = 82,009.50 : x
2. Step 2: Convert to fraction form
   38,184/82,009.50 = 82,009.50/x
3. Step 3: Cross multiply
   38,184x = 82,009.50 × 82,009.50
4. Step 4: Simplify right side
   38,184x = 6,725,558,090.25
5. Step 5: Solve for x
   x = 6,725,558,090.25/38,184
6. Step 6: Final answer
   x = 176,135.50