Finding the Third Proportional to 36,018 and 83,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,018 : 83,734.50 = 83,734.50 : x
2. Step 2: Convert to fraction form
   36,018/83,734.50 = 83,734.50/x
3. Step 3: Cross multiply
   36,018x = 83,734.50 × 83,734.50
4. Step 4: Simplify right side
   36,018x = 7,011,466,490.25
5. Step 5: Solve for x
   x = 7,011,466,490.25/36,018
6. Step 6: Final answer
   x = 194,665.63