Finding the Third Proportional to 34,769.63 and 75,082.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34,769.63 : 75,082.69 = 75,082.69 : x
2. Step 2: Convert to fraction form
   34,769.63/75,082.69 = 75,082.69/x
3. Step 3: Cross multiply
   34,769.63x = 75,082.69 × 75,082.69
4. Step 4: Simplify right side
   34,769.63x = 5,637,409,962.22
5. Step 5: Solve for x
   x = 5,637,409,962.22/34,769.63
6. Step 6: Final answer
   x = 162,136.06