Finding the Third Proportional to 38,727 and 83,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,727 : 83,956.50 = 83,956.50 : x
2. Step 2: Convert to fraction form
   38,727/83,956.50 = 83,956.50/x
3. Step 3: Cross multiply
   38,727x = 83,956.50 × 83,956.50
4. Step 4: Simplify right side
   38,727x = 7,048,693,892.25
5. Step 5: Solve for x
   x = 7,048,693,892.25/38,727
6. Step 6: Final answer
   x = 182,009.81