Finding the Third Proportional to 14,580 and 31,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,580 : 31,468.50 = 31,468.50 : x
2. Step 2: Convert to fraction form
   14,580/31,468.50 = 31,468.50/x
3. Step 3: Cross multiply
   14,580x = 31,468.50 × 31,468.50
4. Step 4: Simplify right side
   14,580x = 990,266,492.25
5. Step 5: Solve for x
   x = 990,266,492.25/14,580
6. Step 6: Final answer
   x = 67,919.51