Finding the Third Proportional to 34,054 and 51,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,054 : 51,127.50 = 51,127.50 : x
2. Step 2: Convert to fraction form
   34,054/51,127.50 = 51,127.50/x
3. Step 3: Cross multiply
   34,054x = 51,127.50 × 51,127.50
4. Step 4: Simplify right side
   34,054x = 2,614,021,256.25
5. Step 5: Solve for x
   x = 2,614,021,256.25/34,054
6. Step 6: Final answer
   x = 76,761.06