Finding the Third Proportional to 35,518 and 59,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,518 : 59,188.50 = 59,188.50 : x
2. Step 2: Convert to fraction form
   35,518/59,188.50 = 59,188.50/x
3. Step 3: Cross multiply
   35,518x = 59,188.50 × 59,188.50
4. Step 4: Simplify right side
   35,518x = 3,503,278,532.25
5. Step 5: Solve for x
   x = 3,503,278,532.25/35,518
6. Step 6: Final answer
   x = 98,633.89