Finding the Third Proportional to 34,735 and 53,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,735 : 53,818.50 = 53,818.50 : x
2. Step 2: Convert to fraction form
   34,735/53,818.50 = 53,818.50/x
3. Step 3: Cross multiply
   34,735x = 53,818.50 × 53,818.50
4. Step 4: Simplify right side
   34,735x = 2,896,430,942.25
5. Step 5: Solve for x
   x = 2,896,430,942.25/34,735
6. Step 6: Final answer
   x = 83,386.52