Finding the Third Proportional to 38,669.75 and 84,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,669.75 : 84,809.50 = 84,809.50 : x
2. Step 2: Convert to fraction form
   38,669.75/84,809.50 = 84,809.50/x
3. Step 3: Cross multiply
   38,669.75x = 84,809.50 × 84,809.50
4. Step 4: Simplify right side
   38,669.75x = 7,192,651,290.25
5. Step 5: Solve for x
   x = 7,192,651,290.25/38,669.75
6. Step 6: Final answer
   x = 186,002.01