Finding the Third Proportional to 34,737.50 and 53,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,737.50 : 53,822.50 = 53,822.50 : x
2. Step 2: Convert to fraction form
   34,737.50/53,822.50 = 53,822.50/x
3. Step 3: Cross multiply
   34,737.50x = 53,822.50 × 53,822.50
4. Step 4: Simplify right side
   34,737.50x = 2,896,861,506.25
5. Step 5: Solve for x
   x = 2,896,861,506.25/34,737.50
6. Step 6: Final answer
   x = 83,392.92