Finding the Third Proportional to 37,526 and 59,420

Step by Step Solution

1. Step 1: Write the proportion equation
   37,526 : 59,420 = 59,420 : x
2. Step 2: Convert to fraction form
   37,526/59,420 = 59,420/x
3. Step 3: Cross multiply
   37,526x = 59,420 × 59,420
4. Step 4: Simplify right side
   37,526x = 3,530,736,400
5. Step 5: Solve for x
   x = 3,530,736,400/37,526
6. Step 6: Final answer
   x = 94,087.74