Finding the Third Proportional to 53,581.50 and 75,476.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,581.50 : 75,476.25 = 75,476.25 : x
2. Step 2: Convert to fraction form
   53,581.50/75,476.25 = 75,476.25/x
3. Step 3: Cross multiply
   53,581.50x = 75,476.25 × 75,476.25
4. Step 4: Simplify right side
   53,581.50x = 5,696,664,314.06
5. Step 5: Solve for x
   x = 5,696,664,314.06/53,581.50
6. Step 6: Final answer
   x = 106,317.75