Finding the Third Proportional to 1,093.50 and 2,156.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.50 : 2,156.63 = 2,156.63 : x
2. Step 2: Convert to fraction form
   1,093.50/2,156.63 = 2,156.63/x
3. Step 3: Cross multiply
   1,093.50x = 2,156.63 × 2,156.63
4. Step 4: Simplify right side
   1,093.50x = 4,651,031.39
5. Step 5: Solve for x
   x = 4,651,031.39/1,093.50
6. Step 6: Final answer
   x = 4,253.34