Finding the Third Proportional to 13,966 and 31,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,966 : 31,907.50 = 31,907.50 : x
2. Step 2: Convert to fraction form
   13,966/31,907.50 = 31,907.50/x
3. Step 3: Cross multiply
   13,966x = 31,907.50 × 31,907.50
4. Step 4: Simplify right side
   13,966x = 1,018,088,556.25
5. Step 5: Solve for x
   x = 1,018,088,556.25/13,966
6. Step 6: Final answer
   x = 72,897.65