Finding the Third Proportional to 35,722.50 and 76,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,722.50 : 76,366.50 = 76,366.50 : x
2. Step 2: Convert to fraction form
   35,722.50/76,366.50 = 76,366.50/x
3. Step 3: Cross multiply
   35,722.50x = 76,366.50 × 76,366.50
4. Step 4: Simplify right side
   35,722.50x = 5,831,842,322.25
5. Step 5: Solve for x
   x = 5,831,842,322.25/35,722.50
6. Step 6: Final answer
   x = 163,254.04