Finding the Third Proportional to 53,149.50 and 85,637.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,149.50 : 85,637.25 = 85,637.25 : x
2. Step 2: Convert to fraction form
   53,149.50/85,637.25 = 85,637.25/x
3. Step 3: Cross multiply
   53,149.50x = 85,637.25 × 85,637.25
4. Step 4: Simplify right side
   53,149.50x = 7,333,738,587.56
5. Step 5: Solve for x
   x = 7,333,738,587.56/53,149.50
6. Step 6: Final answer
   x = 137,983.21