Finding the Third Proportional to 34,535 and 71,527

Step by Step Solution

1. Step 1: Write the proportion equation
   34,535 : 71,527 = 71,527 : x
2. Step 2: Convert to fraction form
   34,535/71,527 = 71,527/x
3. Step 3: Cross multiply
   34,535x = 71,527 × 71,527
4. Step 4: Simplify right side
   34,535x = 5,116,111,729
5. Step 5: Solve for x
   x = 5,116,111,729/34,535
6. Step 6: Final answer
   x = 148,142.80