Finding the Third Proportional to 38,091 and 88,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,091 : 88,168.50 = 88,168.50 : x
2. Step 2: Convert to fraction form
   38,091/88,168.50 = 88,168.50/x
3. Step 3: Cross multiply
   38,091x = 88,168.50 × 88,168.50
4. Step 4: Simplify right side
   38,091x = 7,773,684,392.25
5. Step 5: Solve for x
   x = 7,773,684,392.25/38,091
6. Step 6: Final answer
   x = 204,081.92