Finding the Third Proportional to 31,842 and 74,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,842 : 74,362.50 = 74,362.50 : x
2. Step 2: Convert to fraction form
   31,842/74,362.50 = 74,362.50/x
3. Step 3: Cross multiply
   31,842x = 74,362.50 × 74,362.50
4. Step 4: Simplify right side
   31,842x = 5,529,781,406.25
5. Step 5: Solve for x
   x = 5,529,781,406.25/31,842
6. Step 6: Final answer
   x = 173,663.13