Finding the Third Proportional to 15,768 and 23,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,768 : 23,514.50 = 23,514.50 : x
2. Step 2: Convert to fraction form
   15,768/23,514.50 = 23,514.50/x
3. Step 3: Cross multiply
   15,768x = 23,514.50 × 23,514.50
4. Step 4: Simplify right side
   15,768x = 552,931,710.25
5. Step 5: Solve for x
   x = 552,931,710.25/15,768
6. Step 6: Final answer
   x = 35,066.70