Finding the Third Proportional to 34,553.25 and 74,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,553.25 : 74,419.50 = 74,419.50 : x
2. Step 2: Convert to fraction form
   34,553.25/74,419.50 = 74,419.50/x
3. Step 3: Cross multiply
   34,553.25x = 74,419.50 × 74,419.50
4. Step 4: Simplify right side
   34,553.25x = 5,538,261,980.25
5. Step 5: Solve for x
   x = 5,538,261,980.25/34,553.25
6. Step 6: Final answer
   x = 160,281.94