Finding the Third Proportional to 53,948.50 and 81,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,948.50 : 81,672.50 = 81,672.50 : x
2. Step 2: Convert to fraction form
   53,948.50/81,672.50 = 81,672.50/x
3. Step 3: Cross multiply
   53,948.50x = 81,672.50 × 81,672.50
4. Step 4: Simplify right side
   53,948.50x = 6,670,397,256.25
5. Step 5: Solve for x
   x = 6,670,397,256.25/53,948.50
6. Step 6: Final answer
   x = 123,643.79