Finding the Third Proportional to 47,643 and 70,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,643 : 70,006.50 = 70,006.50 : x
2. Step 2: Convert to fraction form
   47,643/70,006.50 = 70,006.50/x
3. Step 3: Cross multiply
   47,643x = 70,006.50 × 70,006.50
4. Step 4: Simplify right side
   47,643x = 4,900,910,042.25
5. Step 5: Solve for x
   x = 4,900,910,042.25/47,643
6. Step 6: Final answer
   x = 102,867.37