Finding the Third Proportional to 38,268 and 81,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,268 : 81,088.50 = 81,088.50 : x
2. Step 2: Convert to fraction form
   38,268/81,088.50 = 81,088.50/x
3. Step 3: Cross multiply
   38,268x = 81,088.50 × 81,088.50
4. Step 4: Simplify right side
   38,268x = 6,575,344,832.25
5. Step 5: Solve for x
   x = 6,575,344,832.25/38,268
6. Step 6: Final answer
   x = 171,823.58