Finding the Third Proportional to 15,768 and 34,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,768 : 34,438.50 = 34,438.50 : x
2. Step 2: Convert to fraction form
   15,768/34,438.50 = 34,438.50/x
3. Step 3: Cross multiply
   15,768x = 34,438.50 × 34,438.50
4. Step 4: Simplify right side
   15,768x = 1,186,010,282.25
5. Step 5: Solve for x
   x = 1,186,010,282.25/15,768
6. Step 6: Final answer
   x = 75,216.28