Finding the Third Proportional to 34,633 and 50,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,633 : 50,653.50 = 50,653.50 : x
2. Step 2: Convert to fraction form
   34,633/50,653.50 = 50,653.50/x
3. Step 3: Cross multiply
   34,633x = 50,653.50 × 50,653.50
4. Step 4: Simplify right side
   34,633x = 2,565,777,062.25
5. Step 5: Solve for x
   x = 2,565,777,062.25/34,633
6. Step 6: Final answer
   x = 74,084.75