Finding the Third Proportional to 981.89 and 2,117.53

Step by Step Solution

1. Step 1: Write the proportion equation
   981.89 : 2,117.53 = 2,117.53 : x
2. Step 2: Convert to fraction form
   981.89/2,117.53 = 2,117.53/x
3. Step 3: Cross multiply
   981.89x = 2,117.53 × 2,117.53
4. Step 4: Simplify right side
   981.89x = 4,483,938.59
5. Step 5: Solve for x
   x = 4,483,938.59/981.89
6. Step 6: Final answer
   x = 4,566.64