Finding the Third Proportional to 38,407.50 and 88,971.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,407.50 : 88,971.75 = 88,971.75 : x
2. Step 2: Convert to fraction form
   38,407.50/88,971.75 = 88,971.75/x
3. Step 3: Cross multiply
   38,407.50x = 88,971.75 × 88,971.75
4. Step 4: Simplify right side
   38,407.50x = 7,915,972,298.06
5. Step 5: Solve for x
   x = 7,915,972,298.06/38,407.50
6. Step 6: Final answer
   x = 206,104.86