Finding the Third Proportional to 34,727.50 and 74,864

Step by Step Solution

1. Step 1: Write the proportion equation
   34,727.50 : 74,864 = 74,864 : x
2. Step 2: Convert to fraction form
   34,727.50/74,864 = 74,864/x
3. Step 3: Cross multiply
   34,727.50x = 74,864 × 74,864
4. Step 4: Simplify right side
   34,727.50x = 5,604,618,496
5. Step 5: Solve for x
   x = 5,604,618,496/34,727.50
6. Step 6: Final answer
   x = 161,388.48