Finding the Third Proportional to 35,625 and 82,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,625 : 82,483.50 = 82,483.50 : x
2. Step 2: Convert to fraction form
   35,625/82,483.50 = 82,483.50/x
3. Step 3: Cross multiply
   35,625x = 82,483.50 × 82,483.50
4. Step 4: Simplify right side
   35,625x = 6,803,527,772.25
5. Step 5: Solve for x
   x = 6,803,527,772.25/35,625
6. Step 6: Final answer
   x = 190,976.22