Finding the Third Proportional to 17,910 and 27,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,910 : 27,688.50 = 27,688.50 : x
2. Step 2: Convert to fraction form
   17,910/27,688.50 = 27,688.50/x
3. Step 3: Cross multiply
   17,910x = 27,688.50 × 27,688.50
4. Step 4: Simplify right side
   17,910x = 766,653,032.25
5. Step 5: Solve for x
   x = 766,653,032.25/17,910
6. Step 6: Final answer
   x = 42,805.86