Finding the Third Proportional to 38,166 and 58,697

Step by Step Solution

1. Step 1: Write the proportion equation
   38,166 : 58,697 = 58,697 : x
2. Step 2: Convert to fraction form
   38,166/58,697 = 58,697/x
3. Step 3: Cross multiply
   38,166x = 58,697 × 58,697
4. Step 4: Simplify right side
   38,166x = 3,445,337,809
5. Step 5: Solve for x
   x = 3,445,337,809/38,166
6. Step 6: Final answer
   x = 90,272.44