Finding the Third Proportional to 15,780 and 23,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,780 : 23,710.50 = 23,710.50 : x
2. Step 2: Convert to fraction form
   15,780/23,710.50 = 23,710.50/x
3. Step 3: Cross multiply
   15,780x = 23,710.50 × 23,710.50
4. Step 4: Simplify right side
   15,780x = 562,187,810.25
5. Step 5: Solve for x
   x = 562,187,810.25/15,780
6. Step 6: Final answer
   x = 35,626.60