Finding the Third Proportional to 14,778 and 31,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,778 : 31,633.50 = 31,633.50 : x
2. Step 2: Convert to fraction form
   14,778/31,633.50 = 31,633.50/x
3. Step 3: Cross multiply
   14,778x = 31,633.50 × 31,633.50
4. Step 4: Simplify right side
   14,778x = 1,000,678,322.25
5. Step 5: Solve for x
   x = 1,000,678,322.25/14,778
6. Step 6: Final answer
   x = 67,714.06