Finding the Third Proportional to 2,088.76 and 4,538.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,088.76 : 4,538.45 = 4,538.45 : x
2. Step 2: Convert to fraction form
   2,088.76/4,538.45 = 4,538.45/x
3. Step 3: Cross multiply
   2,088.76x = 4,538.45 × 4,538.45
4. Step 4: Simplify right side
   2,088.76x = 20,597,547.90
5. Step 5: Solve for x
   x = 20,597,547.90/2,088.76
6. Step 6: Final answer
   x = 9,861.16