Finding the Third Proportional to 21,188 and 45,688

Step by Step Solution

1. Step 1: Write the proportion equation
   21,188 : 45,688 = 45,688 : x
2. Step 2: Convert to fraction form
   21,188/45,688 = 45,688/x
3. Step 3: Cross multiply
   21,188x = 45,688 × 45,688
4. Step 4: Simplify right side
   21,188x = 2,087,393,344
5. Step 5: Solve for x
   x = 2,087,393,344/21,188
6. Step 6: Final answer
   x = 98,517.71