Finding the Third Proportional to 15,906 and 31,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,906 : 31,809.50 = 31,809.50 : x
2. Step 2: Convert to fraction form
   15,906/31,809.50 = 31,809.50/x
3. Step 3: Cross multiply
   15,906x = 31,809.50 × 31,809.50
4. Step 4: Simplify right side
   15,906x = 1,011,844,290.25
5. Step 5: Solve for x
   x = 1,011,844,290.25/15,906
6. Step 6: Final answer
   x = 63,614.00