Finding the Third Proportional to 38,624.63 and 81,401.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,624.63 : 81,401.25 = 81,401.25 : x
2. Step 2: Convert to fraction form
   38,624.63/81,401.25 = 81,401.25/x
3. Step 3: Cross multiply
   38,624.63x = 81,401.25 × 81,401.25
4. Step 4: Simplify right side
   38,624.63x = 6,626,163,501.56
5. Step 5: Solve for x
   x = 6,626,163,501.56/38,624.63
6. Step 6: Final answer
   x = 171,552.82