Finding the Third Proportional to 35,916.75 and 76,720.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,916.75 : 76,720.50 = 76,720.50 : x
2. Step 2: Convert to fraction form
   35,916.75/76,720.50 = 76,720.50/x
3. Step 3: Cross multiply
   35,916.75x = 76,720.50 × 76,720.50
4. Step 4: Simplify right side
   35,916.75x = 5,886,035,120.25
5. Step 5: Solve for x
   x = 5,886,035,120.25/35,916.75
6. Step 6: Final answer
   x = 163,879.95