Finding the Third Proportional to 36,641 and 78,025

Step by Step Solution

1. Step 1: Write the proportion equation
   36,641 : 78,025 = 78,025 : x
2. Step 2: Convert to fraction form
   36,641/78,025 = 78,025/x
3. Step 3: Cross multiply
   36,641x = 78,025 × 78,025
4. Step 4: Simplify right side
   36,641x = 6,087,900,625
5. Step 5: Solve for x
   x = 6,087,900,625/36,641
6. Step 6: Final answer
   x = 166,149.96