Finding the Third Proportional to 1,906.50 and 5,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,906.50 : 5,164.50 = 5,164.50 : x
2. Step 2: Convert to fraction form
   1,906.50/5,164.50 = 5,164.50/x
3. Step 3: Cross multiply
   1,906.50x = 5,164.50 × 5,164.50
4. Step 4: Simplify right side
   1,906.50x = 26,672,060.25
5. Step 5: Solve for x
   x = 26,672,060.25/1,906.50
6. Step 6: Final answer
   x = 13,990.07