Finding the Third Proportional to 53,233.50 and 74,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,233.50 : 74,017.50 = 74,017.50 : x
2. Step 2: Convert to fraction form
   53,233.50/74,017.50 = 74,017.50/x
3. Step 3: Cross multiply
   53,233.50x = 74,017.50 × 74,017.50
4. Step 4: Simplify right side
   53,233.50x = 5,478,590,306.25
5. Step 5: Solve for x
   x = 5,478,590,306.25/53,233.50
6. Step 6: Final answer
   x = 102,916.21