Finding the Third Proportional to 32,189.91 and 77,091.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,189.91 : 77,091.75 = 77,091.75 : x
2. Step 2: Convert to fraction form
   32,189.91/77,091.75 = 77,091.75/x
3. Step 3: Cross multiply
   32,189.91x = 77,091.75 × 77,091.75
4. Step 4: Simplify right side
   32,189.91x = 5,943,137,918.06
5. Step 5: Solve for x
   x = 5,943,137,918.06/32,189.91
6. Step 6: Final answer
   x = 184,627.38