Finding the Third Proportional to 36,588 and 76,047

Step by Step Solution

1. Step 1: Write the proportion equation
   36,588 : 76,047 = 76,047 : x
2. Step 2: Convert to fraction form
   36,588/76,047 = 76,047/x
3. Step 3: Cross multiply
   36,588x = 76,047 × 76,047
4. Step 4: Simplify right side
   36,588x = 5,783,146,209
5. Step 5: Solve for x
   x = 5,783,146,209/36,588
6. Step 6: Final answer
   x = 158,061.28