Finding the Third Proportional to 38,625.75 and 84,629.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,625.75 : 84,629.25 = 84,629.25 : x
2. Step 2: Convert to fraction form
   38,625.75/84,629.25 = 84,629.25/x
3. Step 3: Cross multiply
   38,625.75x = 84,629.25 × 84,629.25
4. Step 4: Simplify right side
   38,625.75x = 7,162,109,955.56
5. Step 5: Solve for x
   x = 7,162,109,955.56/38,625.75
6. Step 6: Final answer
   x = 185,423.19