Finding the Third Proportional to 14,647.50 and 34,539.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,647.50 : 34,539.75 = 34,539.75 : x
2. Step 2: Convert to fraction form
   14,647.50/34,539.75 = 34,539.75/x
3. Step 3: Cross multiply
   14,647.50x = 34,539.75 × 34,539.75
4. Step 4: Simplify right side
   14,647.50x = 1,192,994,330.06
5. Step 5: Solve for x
   x = 1,192,994,330.06/14,647.50
6. Step 6: Final answer
   x = 81,446.96