Finding the Third Proportional to 38,953.50 and 86,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,953.50 : 86,923.50 = 86,923.50 : x
2. Step 2: Convert to fraction form
   38,953.50/86,923.50 = 86,923.50/x
3. Step 3: Cross multiply
   38,953.50x = 86,923.50 × 86,923.50
4. Step 4: Simplify right side
   38,953.50x = 7,555,694,852.25
5. Step 5: Solve for x
   x = 7,555,694,852.25/38,953.50
6. Step 6: Final answer
   x = 193,967.03