Finding the Third Proportional to 34,459.50 and 74,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,459.50 : 74,197.50 = 74,197.50 : x
2. Step 2: Convert to fraction form
   34,459.50/74,197.50 = 74,197.50/x
3. Step 3: Cross multiply
   34,459.50x = 74,197.50 × 74,197.50
4. Step 4: Simplify right side
   34,459.50x = 5,505,269,006.25
5. Step 5: Solve for x
   x = 5,505,269,006.25/34,459.50
6. Step 6: Final answer
   x = 159,760.56