Finding the Third Proportional to 577.38 and 1,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   577.38 : 1,026.50 = 1,026.50 : x
2. Step 2: Convert to fraction form
   577.38/1,026.50 = 1,026.50/x
3. Step 3: Cross multiply
   577.38x = 1,026.50 × 1,026.50
4. Step 4: Simplify right side
   577.38x = 1,053,702.25
5. Step 5: Solve for x
   x = 1,053,702.25/577.38
6. Step 6: Final answer
   x = 1,824.99