Finding the Third Proportional to 14,848 and 23,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,848 : 23,677.50 = 23,677.50 : x
2. Step 2: Convert to fraction form
   14,848/23,677.50 = 23,677.50/x
3. Step 3: Cross multiply
   14,848x = 23,677.50 × 23,677.50
4. Step 4: Simplify right side
   14,848x = 560,624,006.25
5. Step 5: Solve for x
   x = 560,624,006.25/14,848
6. Step 6: Final answer
   x = 37,757.54