Finding the Third Proportional to 30,169.50 and 64,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,169.50 : 64,342.50 = 64,342.50 : x
2. Step 2: Convert to fraction form
   30,169.50/64,342.50 = 64,342.50/x
3. Step 3: Cross multiply
   30,169.50x = 64,342.50 × 64,342.50
4. Step 4: Simplify right side
   30,169.50x = 4,139,957,306.25
5. Step 5: Solve for x
   x = 4,139,957,306.25/30,169.50
6. Step 6: Final answer
   x = 137,223.27