Finding the Third Proportional to 36,850 and 57,646

Step by Step Solution

1. Step 1: Write the proportion equation
   36,850 : 57,646 = 57,646 : x
2. Step 2: Convert to fraction form
   36,850/57,646 = 57,646/x
3. Step 3: Cross multiply
   36,850x = 57,646 × 57,646
4. Step 4: Simplify right side
   36,850x = 3,323,061,316
5. Step 5: Solve for x
   x = 3,323,061,316/36,850
6. Step 6: Final answer
   x = 90,178.05