Finding the Third Proportional to 14,517 and 23,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,517 : 23,071.50 = 23,071.50 : x
2. Step 2: Convert to fraction form
   14,517/23,071.50 = 23,071.50/x
3. Step 3: Cross multiply
   14,517x = 23,071.50 × 23,071.50
4. Step 4: Simplify right side
   14,517x = 532,294,112.25
5. Step 5: Solve for x
   x = 532,294,112.25/14,517
6. Step 6: Final answer
   x = 36,666.95