Finding the Third Proportional to 35,478.50 and 59,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,478.50 : 59,128.50 = 59,128.50 : x
2. Step 2: Convert to fraction form
   35,478.50/59,128.50 = 59,128.50/x
3. Step 3: Cross multiply
   35,478.50x = 59,128.50 × 59,128.50
4. Step 4: Simplify right side
   35,478.50x = 3,496,179,512.25
5. Step 5: Solve for x
   x = 3,496,179,512.25/35,478.50
6. Step 6: Final answer
   x = 98,543.61