Finding the Third Proportional to 40,172.50 and 76,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,172.50 : 76,699.50 = 76,699.50 : x
2. Step 2: Convert to fraction form
   40,172.50/76,699.50 = 76,699.50/x
3. Step 3: Cross multiply
   40,172.50x = 76,699.50 × 76,699.50
4. Step 4: Simplify right side
   40,172.50x = 5,882,813,300.25
5. Step 5: Solve for x
   x = 5,882,813,300.25/40,172.50
6. Step 6: Final answer
   x = 146,438.82