Finding the Third Proportional to 38,434.50 and 81,951.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,434.50 : 81,951.75 = 81,951.75 : x
2. Step 2: Convert to fraction form
   38,434.50/81,951.75 = 81,951.75/x
3. Step 3: Cross multiply
   38,434.50x = 81,951.75 × 81,951.75
4. Step 4: Simplify right side
   38,434.50x = 6,716,089,328.06
5. Step 5: Solve for x
   x = 6,716,089,328.06/38,434.50
6. Step 6: Final answer
   x = 174,741.17