Finding the Third Proportional to 34,761 and 76,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,761 : 76,204.50 = 76,204.50 : x
2. Step 2: Convert to fraction form
   34,761/76,204.50 = 76,204.50/x
3. Step 3: Cross multiply
   34,761x = 76,204.50 × 76,204.50
4. Step 4: Simplify right side
   34,761x = 5,807,125,820.25
5. Step 5: Solve for x
   x = 5,807,125,820.25/34,761
6. Step 6: Final answer
   x = 167,058.65