Finding the Third Proportional to 35,174.25 and 71,782.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,174.25 : 71,782.88 = 71,782.88 : x
2. Step 2: Convert to fraction form
   35,174.25/71,782.88 = 71,782.88/x
3. Step 3: Cross multiply
   35,174.25x = 71,782.88 × 71,782.88
4. Step 4: Simplify right side
   35,174.25x = 5,152,781,143.27
5. Step 5: Solve for x
   x = 5,152,781,143.27/35,174.25
6. Step 6: Final answer
   x = 146,492.99