Finding the Third Proportional to 17,658 and 36,753.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,658 : 36,753.75 = 36,753.75 : x
2. Step 2: Convert to fraction form
   17,658/36,753.75 = 36,753.75/x
3. Step 3: Cross multiply
   17,658x = 36,753.75 × 36,753.75
4. Step 4: Simplify right side
   17,658x = 1,350,838,139.06
5. Step 5: Solve for x
   x = 1,350,838,139.06/17,658
6. Step 6: Final answer
   x = 76,500.06