Finding the Third Proportional to 53,419.50 and 83,046

Step by Step Solution

1. Step 1: Write the proportion equation
   53,419.50 : 83,046 = 83,046 : x
2. Step 2: Convert to fraction form
   53,419.50/83,046 = 83,046/x
3. Step 3: Cross multiply
   53,419.50x = 83,046 × 83,046
4. Step 4: Simplify right side
   53,419.50x = 6,896,638,116
5. Step 5: Solve for x
   x = 6,896,638,116/53,419.50
6. Step 6: Final answer
   x = 129,103.38