Finding the Third Proportional to 35,486 and 59,140

Step by Step Solution

1. Step 1: Write the proportion equation
   35,486 : 59,140 = 59,140 : x
2. Step 2: Convert to fraction form
   35,486/59,140 = 59,140/x
3. Step 3: Cross multiply
   35,486x = 59,140 × 59,140
4. Step 4: Simplify right side
   35,486x = 3,497,539,600
5. Step 5: Solve for x
   x = 3,497,539,600/35,486
6. Step 6: Final answer
   x = 98,561.11