Finding the Third Proportional to 36,301.50 and 77,856.38

Step by Step Solution

1. Step 1: Write the proportion equation
   36,301.50 : 77,856.38 = 77,856.38 : x
2. Step 2: Convert to fraction form
   36,301.50/77,856.38 = 77,856.38/x
3. Step 3: Cross multiply
   36,301.50x = 77,856.38 × 77,856.38
4. Step 4: Simplify right side
   36,301.50x = 6,061,615,128.14
5. Step 5: Solve for x
   x = 6,061,615,128.14/36,301.50
6. Step 6: Final answer
   x = 166,979.74