Finding the Third Proportional to 30,314.25 and 66,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,314.25 : 66,586.50 = 66,586.50 : x
2. Step 2: Convert to fraction form
   30,314.25/66,586.50 = 66,586.50/x
3. Step 3: Cross multiply
   30,314.25x = 66,586.50 × 66,586.50
4. Step 4: Simplify right side
   30,314.25x = 4,433,761,982.25
5. Step 5: Solve for x
   x = 4,433,761,982.25/30,314.25
6. Step 6: Final answer
   x = 146,259.99