Finding the Third Proportional to 14,780.50 and 32,842

Step by Step Solution

1. Step 1: Write the proportion equation
   14,780.50 : 32,842 = 32,842 : x
2. Step 2: Convert to fraction form
   14,780.50/32,842 = 32,842/x
3. Step 3: Cross multiply
   14,780.50x = 32,842 × 32,842
4. Step 4: Simplify right side
   14,780.50x = 1,078,596,964
5. Step 5: Solve for x
   x = 1,078,596,964/14,780.50
6. Step 6: Final answer
   x = 72,974.32