Finding the Third Proportional to 31,239 and 73,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,239 : 73,534.50 = 73,534.50 : x
2. Step 2: Convert to fraction form
   31,239/73,534.50 = 73,534.50/x
3. Step 3: Cross multiply
   31,239x = 73,534.50 × 73,534.50
4. Step 4: Simplify right side
   31,239x = 5,407,322,690.25
5. Step 5: Solve for x
   x = 5,407,322,690.25/31,239
6. Step 6: Final answer
   x = 173,095.26