Finding the Third Proportional to 34,506 and 54,538.31

Step by Step Solution

1. Step 1: Write the proportion equation
   34,506 : 54,538.31 = 54,538.31 : x
2. Step 2: Convert to fraction form
   34,506/54,538.31 = 54,538.31/x
3. Step 3: Cross multiply
   34,506x = 54,538.31 × 54,538.31
4. Step 4: Simplify right side
   34,506x = 2,974,427,530.35
5. Step 5: Solve for x
   x = 2,974,427,530.35/34,506
6. Step 6: Final answer
   x = 86,200.30