Finding the Third Proportional to 38,626.50 and 81,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,626.50 : 81,403.50 = 81,403.50 : x
2. Step 2: Convert to fraction form
   38,626.50/81,403.50 = 81,403.50/x
3. Step 3: Cross multiply
   38,626.50x = 81,403.50 × 81,403.50
4. Step 4: Simplify right side
   38,626.50x = 6,626,529,812.25
5. Step 5: Solve for x
   x = 6,626,529,812.25/38,626.50
6. Step 6: Final answer
   x = 171,553.98