Finding the Third Proportional to 34,507.50 and 74,294.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,507.50 : 74,294.25 = 74,294.25 : x
2. Step 2: Convert to fraction form
   34,507.50/74,294.25 = 74,294.25/x
3. Step 3: Cross multiply
   34,507.50x = 74,294.25 × 74,294.25
4. Step 4: Simplify right side
   34,507.50x = 5,519,635,583.06
5. Step 5: Solve for x
   x = 5,519,635,583.06/34,507.50
6. Step 6: Final answer
   x = 159,954.66