Finding the Third Proportional to 14,782.50 and 22,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,782.50 : 22,477.50 = 22,477.50 : x
2. Step 2: Convert to fraction form
   14,782.50/22,477.50 = 22,477.50/x
3. Step 3: Cross multiply
   14,782.50x = 22,477.50 × 22,477.50
4. Step 4: Simplify right side
   14,782.50x = 505,238,006.25
5. Step 5: Solve for x
   x = 505,238,006.25/14,782.50
6. Step 6: Final answer
   x = 34,178.12