Finding the Third Proportional to 17,688 and 27,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,688 : 27,445.50 = 27,445.50 : x
2. Step 2: Convert to fraction form
   17,688/27,445.50 = 27,445.50/x
3. Step 3: Cross multiply
   17,688x = 27,445.50 × 27,445.50
4. Step 4: Simplify right side
   17,688x = 753,255,470.25
5. Step 5: Solve for x
   x = 753,255,470.25/17,688
6. Step 6: Final answer
   x = 42,585.68