Finding the Third Proportional to 53,113.50 and 81,527.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,113.50 : 81,527.25 = 81,527.25 : x
2. Step 2: Convert to fraction form
   53,113.50/81,527.25 = 81,527.25/x
3. Step 3: Cross multiply
   53,113.50x = 81,527.25 × 81,527.25
4. Step 4: Simplify right side
   53,113.50x = 6,646,692,492.56
5. Step 5: Solve for x
   x = 6,646,692,492.56/53,113.50
6. Step 6: Final answer
   x = 125,141.30