Finding the Third Proportional to 21,627 and 46,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,627 : 46,527.50 = 46,527.50 : x
2. Step 2: Convert to fraction form
   21,627/46,527.50 = 46,527.50/x
3. Step 3: Cross multiply
   21,627x = 46,527.50 × 46,527.50
4. Step 4: Simplify right side
   21,627x = 2,164,808,256.25
5. Step 5: Solve for x
   x = 2,164,808,256.25/21,627
6. Step 6: Final answer
   x = 100,097.48