Finding the Third Proportional to 34,663.50 and 52,644

Step by Step Solution

1. Step 1: Write the proportion equation
   34,663.50 : 52,644 = 52,644 : x
2. Step 2: Convert to fraction form
   34,663.50/52,644 = 52,644/x
3. Step 3: Cross multiply
   34,663.50x = 52,644 × 52,644
4. Step 4: Simplify right side
   34,663.50x = 2,771,390,736
5. Step 5: Solve for x
   x = 2,771,390,736/34,663.50
6. Step 6: Final answer
   x = 79,951.27