Finding the Third Proportional to 53,464 and 83,928

Step by Step Solution

1. Step 1: Write the proportion equation
   53,464 : 83,928 = 83,928 : x
2. Step 2: Convert to fraction form
   53,464/83,928 = 83,928/x
3. Step 3: Cross multiply
   53,464x = 83,928 × 83,928
4. Step 4: Simplify right side
   53,464x = 7,043,909,184
5. Step 5: Solve for x
   x = 7,043,909,184/53,464
6. Step 6: Final answer
   x = 131,750.51