Finding the Third Proportional to 53,832.50 and 77,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,832.50 : 77,059.50 = 77,059.50 : x
2. Step 2: Convert to fraction form
   53,832.50/77,059.50 = 77,059.50/x
3. Step 3: Cross multiply
   53,832.50x = 77,059.50 × 77,059.50
4. Step 4: Simplify right side
   53,832.50x = 5,938,166,540.25
5. Step 5: Solve for x
   x = 5,938,166,540.25/53,832.50
6. Step 6: Final answer
   x = 110,308.21