Finding the Third Proportional to 14,757 and 35,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,757 : 35,665.50 = 35,665.50 : x
2. Step 2: Convert to fraction form
   14,757/35,665.50 = 35,665.50/x
3. Step 3: Cross multiply
   14,757x = 35,665.50 × 35,665.50
4. Step 4: Simplify right side
   14,757x = 1,272,027,890.25
5. Step 5: Solve for x
   x = 1,272,027,890.25/14,757
6. Step 6: Final answer
   x = 86,198.27