Finding the Third Proportional to 34,023 and 73,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,023 : 73,522.50 = 73,522.50 : x
2. Step 2: Convert to fraction form
   34,023/73,522.50 = 73,522.50/x
3. Step 3: Cross multiply
   34,023x = 73,522.50 × 73,522.50
4. Step 4: Simplify right side
   34,023x = 5,405,558,006.25
5. Step 5: Solve for x
   x = 5,405,558,006.25/34,023
6. Step 6: Final answer
   x = 158,879.52