Finding the Third Proportional to 51,602 and 76,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,602 : 76,446.50 = 76,446.50 : x
2. Step 2: Convert to fraction form
   51,602/76,446.50 = 76,446.50/x
3. Step 3: Cross multiply
   51,602x = 76,446.50 × 76,446.50
4. Step 4: Simplify right side
   51,602x = 5,844,067,362.25
5. Step 5: Solve for x
   x = 5,844,067,362.25/51,602
6. Step 6: Final answer
   x = 113,252.73