Finding the Third Proportional to 45,762 and 83,928

Step by Step Solution

1. Step 1: Write the proportion equation
   45,762 : 83,928 = 83,928 : x
2. Step 2: Convert to fraction form
   45,762/83,928 = 83,928/x
3. Step 3: Cross multiply
   45,762x = 83,928 × 83,928
4. Step 4: Simplify right side
   45,762x = 7,043,909,184
5. Step 5: Solve for x
   x = 7,043,909,184/45,762
6. Step 6: Final answer
   x = 153,924.85