Finding the Third Proportional to 38,874 and 81,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,874 : 81,664.50 = 81,664.50 : x
2. Step 2: Convert to fraction form
   38,874/81,664.50 = 81,664.50/x
3. Step 3: Cross multiply
   38,874x = 81,664.50 × 81,664.50
4. Step 4: Simplify right side
   38,874x = 6,669,090,560.25
5. Step 5: Solve for x
   x = 6,669,090,560.25/38,874
6. Step 6: Final answer
   x = 171,556.58