Finding the Third Proportional to 31,644 and 47,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 47,668.50 = 47,668.50 : x
2. Step 2: Convert to fraction form
   31,644/47,668.50 = 47,668.50/x
3. Step 3: Cross multiply
   31,644x = 47,668.50 × 47,668.50
4. Step 4: Simplify right side
   31,644x = 2,272,285,892.25
5. Step 5: Solve for x
   x = 2,272,285,892.25/31,644
6. Step 6: Final answer
   x = 71,807.80