Finding the Third Proportional to 58,962 and 83,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,962 : 83,162.50 = 83,162.50 : x
2. Step 2: Convert to fraction form
   58,962/83,162.50 = 83,162.50/x
3. Step 3: Cross multiply
   58,962x = 83,162.50 × 83,162.50
4. Step 4: Simplify right side
   58,962x = 6,916,001,406.25
5. Step 5: Solve for x
   x = 6,916,001,406.25/58,962
6. Step 6: Final answer
   x = 117,295.91