Finding the Third Proportional to 53,261 and 76,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,261 : 76,723.50 = 76,723.50 : x
2. Step 2: Convert to fraction form
   53,261/76,723.50 = 76,723.50/x
3. Step 3: Cross multiply
   53,261x = 76,723.50 × 76,723.50
4. Step 4: Simplify right side
   53,261x = 5,886,495,452.25
5. Step 5: Solve for x
   x = 5,886,495,452.25/53,261
6. Step 6: Final answer
   x = 110,521.68