Finding the Third Proportional to 53,466 and 74,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,466 : 74,749.50 = 74,749.50 : x
2. Step 2: Convert to fraction form
   53,466/74,749.50 = 74,749.50/x
3. Step 3: Cross multiply
   53,466x = 74,749.50 × 74,749.50
4. Step 4: Simplify right side
   53,466x = 5,587,487,750.25
5. Step 5: Solve for x
   x = 5,587,487,750.25/53,466
6. Step 6: Final answer
   x = 104,505.44