Finding the Third Proportional to 34,830 and 83,058.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,830 : 83,058.75 = 83,058.75 : x
2. Step 2: Convert to fraction form
   34,830/83,058.75 = 83,058.75/x
3. Step 3: Cross multiply
   34,830x = 83,058.75 × 83,058.75
4. Step 4: Simplify right side
   34,830x = 6,898,755,951.56
5. Step 5: Solve for x
   x = 6,898,755,951.56/34,830
6. Step 6: Final answer
   x = 198,069.36