Finding the Third Proportional to 15,839 and 34,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,839 : 34,945.50 = 34,945.50 : x
2. Step 2: Convert to fraction form
   15,839/34,945.50 = 34,945.50/x
3. Step 3: Cross multiply
   15,839x = 34,945.50 × 34,945.50
4. Step 4: Simplify right side
   15,839x = 1,221,187,970.25
5. Step 5: Solve for x
   x = 1,221,187,970.25/15,839
6. Step 6: Final answer
   x = 77,100.07