Finding the Third Proportional to 58,596.50 and 82,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,596.50 : 82,967.50 = 82,967.50 : x
2. Step 2: Convert to fraction form
   58,596.50/82,967.50 = 82,967.50/x
3. Step 3: Cross multiply
   58,596.50x = 82,967.50 × 82,967.50
4. Step 4: Simplify right side
   58,596.50x = 6,883,606,056.25
5. Step 5: Solve for x
   x = 6,883,606,056.25/58,596.50
6. Step 6: Final answer
   x = 117,474.70