Finding the Third Proportional to 15,194 and 31,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,194 : 31,923.50 = 31,923.50 : x
2. Step 2: Convert to fraction form
   15,194/31,923.50 = 31,923.50/x
3. Step 3: Cross multiply
   15,194x = 31,923.50 × 31,923.50
4. Step 4: Simplify right side
   15,194x = 1,019,109,852.25
5. Step 5: Solve for x
   x = 1,019,109,852.25/15,194
6. Step 6: Final answer
   x = 67,073.18