Finding the Third Proportional to 21,188 and 31,778

Step by Step Solution

1. Step 1: Write the proportion equation
   21,188 : 31,778 = 31,778 : x
2. Step 2: Convert to fraction form
   21,188/31,778 = 31,778/x
3. Step 3: Cross multiply
   21,188x = 31,778 × 31,778
4. Step 4: Simplify right side
   21,188x = 1,009,841,284
5. Step 5: Solve for x
   x = 1,009,841,284/21,188
6. Step 6: Final answer
   x = 47,661.00