Finding the Third Proportional to 53,083 and 77,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,083 : 77,435.50 = 77,435.50 : x
2. Step 2: Convert to fraction form
   53,083/77,435.50 = 77,435.50/x
3. Step 3: Cross multiply
   53,083x = 77,435.50 × 77,435.50
4. Step 4: Simplify right side
   53,083x = 5,996,256,660.25
5. Step 5: Solve for x
   x = 5,996,256,660.25/53,083
6. Step 6: Final answer
   x = 112,960.02