Finding the Third Proportional to 34,518 and 75,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,518 : 75,497.50 = 75,497.50 : x
2. Step 2: Convert to fraction form
   34,518/75,497.50 = 75,497.50/x
3. Step 3: Cross multiply
   34,518x = 75,497.50 × 75,497.50
4. Step 4: Simplify right side
   34,518x = 5,699,872,506.25
5. Step 5: Solve for x
   x = 5,699,872,506.25/34,518
6. Step 6: Final answer
   x = 165,127.54