Finding the Third Proportional to 38,830 and 58,184

Step by Step Solution

1. Step 1: Write the proportion equation
   38,830 : 58,184 = 58,184 : x
2. Step 2: Convert to fraction form
   38,830/58,184 = 58,184/x
3. Step 3: Cross multiply
   38,830x = 58,184 × 58,184
4. Step 4: Simplify right side
   38,830x = 3,385,377,856
5. Step 5: Solve for x
   x = 3,385,377,856/38,830
6. Step 6: Final answer
   x = 87,184.60