Finding the Third Proportional to 35,023.50 and 74,967.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,023.50 : 74,967.38 = 74,967.38 : x
2. Step 2: Convert to fraction form
   35,023.50/74,967.38 = 74,967.38/x
3. Step 3: Cross multiply
   35,023.50x = 74,967.38 × 74,967.38
4. Step 4: Simplify right side
   35,023.50x = 5,620,107,314.39
5. Step 5: Solve for x
   x = 5,620,107,314.39/35,023.50
6. Step 6: Final answer
   x = 160,466.75