Finding the Third Proportional to 34,023 and 73,406.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,023 : 73,406.25 = 73,406.25 : x
2. Step 2: Convert to fraction form
   34,023/73,406.25 = 73,406.25/x
3. Step 3: Cross multiply
   34,023x = 73,406.25 × 73,406.25
4. Step 4: Simplify right side
   34,023x = 5,388,477,539.06
5. Step 5: Solve for x
   x = 5,388,477,539.06/34,023
6. Step 6: Final answer
   x = 158,377.50