Finding the Third Proportional to 14,580 and 31,583.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,580 : 31,583.25 = 31,583.25 : x
2. Step 2: Convert to fraction form
   14,580/31,583.25 = 31,583.25/x
3. Step 3: Cross multiply
   14,580x = 31,583.25 × 31,583.25
4. Step 4: Simplify right side
   14,580x = 997,501,680.56
5. Step 5: Solve for x
   x = 997,501,680.56/14,580
6. Step 6: Final answer
   x = 68,415.75