Finding the Third Proportional to 35,526 and 59,203

Step by Step Solution

1. Step 1: Write the proportion equation
   35,526 : 59,203 = 59,203 : x
2. Step 2: Convert to fraction form
   35,526/59,203 = 59,203/x
3. Step 3: Cross multiply
   35,526x = 59,203 × 59,203
4. Step 4: Simplify right side
   35,526x = 3,504,995,209
5. Step 5: Solve for x
   x = 3,504,995,209/35,526
6. Step 6: Final answer
   x = 98,660.00