Finding the Third Proportional to 35,612.50 and 75,991.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,612.50 : 75,991.75 = 75,991.75 : x
2. Step 2: Convert to fraction form
   35,612.50/75,991.75 = 75,991.75/x
3. Step 3: Cross multiply
   35,612.50x = 75,991.75 × 75,991.75
4. Step 4: Simplify right side
   35,612.50x = 5,774,746,068.06
5. Step 5: Solve for x
   x = 5,774,746,068.06/35,612.50
6. Step 6: Final answer
   x = 162,155.03