Finding the Third Proportional to 38,161 and 56,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,161 : 56,137.50 = 56,137.50 : x
2. Step 2: Convert to fraction form
   38,161/56,137.50 = 56,137.50/x
3. Step 3: Cross multiply
   38,161x = 56,137.50 × 56,137.50
4. Step 4: Simplify right side
   38,161x = 3,151,418,906.25
5. Step 5: Solve for x
   x = 3,151,418,906.25/38,161
6. Step 6: Final answer
   x = 82,582.19