Finding the Third Proportional to 34,406.40 and 75,578.80

Step by Step Solution

1. Step 1: Write the proportion equation
   34,406.40 : 75,578.80 = 75,578.80 : x
2. Step 2: Convert to fraction form
   34,406.40/75,578.80 = 75,578.80/x
3. Step 3: Cross multiply
   34,406.40x = 75,578.80 × 75,578.80
4. Step 4: Simplify right side
   34,406.40x = 5,712,155,127.53
5. Step 5: Solve for x
   x = 5,712,155,127.53/34,406.40
6. Step 6: Final answer
   x = 166,020.12