Finding the Third Proportional to 37,522 and 59,416

Step by Step Solution

1. Step 1: Write the proportion equation
   37,522 : 59,416 = 59,416 : x
2. Step 2: Convert to fraction form
   37,522/59,416 = 59,416/x
3. Step 3: Cross multiply
   37,522x = 59,416 × 59,416
4. Step 4: Simplify right side
   37,522x = 3,530,261,056
5. Step 5: Solve for x
   x = 3,530,261,056/37,522
6. Step 6: Final answer
   x = 94,085.10