Finding the Third Proportional to 31,616 and 47,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,616 : 47,341.50 = 47,341.50 : x
2. Step 2: Convert to fraction form
   31,616/47,341.50 = 47,341.50/x
3. Step 3: Cross multiply
   31,616x = 47,341.50 × 47,341.50
4. Step 4: Simplify right side
   31,616x = 2,241,217,622.25
5. Step 5: Solve for x
   x = 2,241,217,622.25/31,616
6. Step 6: Final answer
   x = 70,888.72