Finding the Third Proportional to 38,243 and 53,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,243 : 53,758.50 = 53,758.50 : x
2. Step 2: Convert to fraction form
   38,243/53,758.50 = 53,758.50/x
3. Step 3: Cross multiply
   38,243x = 53,758.50 × 53,758.50
4. Step 4: Simplify right side
   38,243x = 2,889,976,322.25
5. Step 5: Solve for x
   x = 2,889,976,322.25/38,243
6. Step 6: Final answer
   x = 75,568.77