Finding the Third Proportional to 36,643.50 and 74,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,643.50 : 74,767.50 = 74,767.50 : x
2. Step 2: Convert to fraction form
   36,643.50/74,767.50 = 74,767.50/x
3. Step 3: Cross multiply
   36,643.50x = 74,767.50 × 74,767.50
4. Step 4: Simplify right side
   36,643.50x = 5,590,179,056.25
5. Step 5: Solve for x
   x = 5,590,179,056.25/36,643.50
6. Step 6: Final answer
   x = 152,555.82