Finding the Third Proportional to 35,497.50 and 72,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,497.50 : 72,628.50 = 72,628.50 : x
2. Step 2: Convert to fraction form
   35,497.50/72,628.50 = 72,628.50/x
3. Step 3: Cross multiply
   35,497.50x = 72,628.50 × 72,628.50
4. Step 4: Simplify right side
   35,497.50x = 5,274,899,012.25
5. Step 5: Solve for x
   x = 5,274,899,012.25/35,497.50
6. Step 6: Final answer
   x = 148,599.17