Finding the Third Proportional to 35,901 and 59,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,901 : 59,626.50 = 59,626.50 : x
2. Step 2: Convert to fraction form
   35,901/59,626.50 = 59,626.50/x
3. Step 3: Cross multiply
   35,901x = 59,626.50 × 59,626.50
4. Step 4: Simplify right side
   35,901x = 3,555,319,502.25
5. Step 5: Solve for x
   x = 3,555,319,502.25/35,901
6. Step 6: Final answer
   x = 99,031.21