Finding the Third Proportional to 14,685.50 and 23,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,685.50 : 23,645.50 = 23,645.50 : x
2. Step 2: Convert to fraction form
   14,685.50/23,645.50 = 23,645.50/x
3. Step 3: Cross multiply
   14,685.50x = 23,645.50 × 23,645.50
4. Step 4: Simplify right side
   14,685.50x = 559,109,670.25
5. Step 5: Solve for x
   x = 559,109,670.25/14,685.50
6. Step 6: Final answer
   x = 38,072.23