Finding the Third Proportional to 53,091.75 and 80,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,091.75 : 80,047.50 = 80,047.50 : x
2. Step 2: Convert to fraction form
   53,091.75/80,047.50 = 80,047.50/x
3. Step 3: Cross multiply
   53,091.75x = 80,047.50 × 80,047.50
4. Step 4: Simplify right side
   53,091.75x = 6,407,602,256.25
5. Step 5: Solve for x
   x = 6,407,602,256.25/53,091.75
6. Step 6: Final answer
   x = 120,689.23