Finding the Third Proportional to 914.63 and 2,158.59

Step by Step Solution

1. Step 1: Write the proportion equation
   914.63 : 2,158.59 = 2,158.59 : x
2. Step 2: Convert to fraction form
   914.63/2,158.59 = 2,158.59/x
3. Step 3: Cross multiply
   914.63x = 2,158.59 × 2,158.59
4. Step 4: Simplify right side
   914.63x = 4,659,526.98
5. Step 5: Solve for x
   x = 4,659,526.98/914.63
6. Step 6: Final answer
   x = 5,094.47