Finding the Third Proportional to 38,160 and 55,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,160 : 55,507.50 = 55,507.50 : x
2. Step 2: Convert to fraction form
   38,160/55,507.50 = 55,507.50/x
3. Step 3: Cross multiply
   38,160x = 55,507.50 × 55,507.50
4. Step 4: Simplify right side
   38,160x = 3,081,082,556.25
5. Step 5: Solve for x
   x = 3,081,082,556.25/38,160
6. Step 6: Final answer
   x = 80,741.16