Finding the Third Proportional to 39,197 and 59,160

Step by Step Solution

1. Step 1: Write the proportion equation
   39,197 : 59,160 = 59,160 : x
2. Step 2: Convert to fraction form
   39,197/59,160 = 59,160/x
3. Step 3: Cross multiply
   39,197x = 59,160 × 59,160
4. Step 4: Simplify right side
   39,197x = 3,499,905,600
5. Step 5: Solve for x
   x = 3,499,905,600/39,197
6. Step 6: Final answer
   x = 89,290.14