Finding the Third Proportional to 38,909.25 and 84,885.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,909.25 : 84,885.75 = 84,885.75 : x
2. Step 2: Convert to fraction form
   38,909.25/84,885.75 = 84,885.75/x
3. Step 3: Cross multiply
   38,909.25x = 84,885.75 × 84,885.75
4. Step 4: Simplify right side
   38,909.25x = 7,205,590,553.06
5. Step 5: Solve for x
   x = 7,205,590,553.06/38,909.25
6. Step 6: Final answer
   x = 185,189.65