Finding the Third Proportional to 45,762 and 83,930

Step by Step Solution

1. Step 1: Write the proportion equation
   45,762 : 83,930 = 83,930 : x
2. Step 2: Convert to fraction form
   45,762/83,930 = 83,930/x
3. Step 3: Cross multiply
   45,762x = 83,930 × 83,930
4. Step 4: Simplify right side
   45,762x = 7,044,244,900
5. Step 5: Solve for x
   x = 7,044,244,900/45,762
6. Step 6: Final answer
   x = 153,932.19