Finding the Third Proportional to 35,178.75 and 74,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,178.75 : 74,002.50 = 74,002.50 : x
2. Step 2: Convert to fraction form
   35,178.75/74,002.50 = 74,002.50/x
3. Step 3: Cross multiply
   35,178.75x = 74,002.50 × 74,002.50
4. Step 4: Simplify right side
   35,178.75x = 5,476,370,006.25
5. Step 5: Solve for x
   x = 5,476,370,006.25/35,178.75
6. Step 6: Final answer
   x = 155,672.67