Finding the Third Proportional to 13,534 and 29,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,534 : 29,527.50 = 29,527.50 : x
2. Step 2: Convert to fraction form
   13,534/29,527.50 = 29,527.50/x
3. Step 3: Cross multiply
   13,534x = 29,527.50 × 29,527.50
4. Step 4: Simplify right side
   13,534x = 871,873,256.25
5. Step 5: Solve for x
   x = 871,873,256.25/13,534
6. Step 6: Final answer
   x = 64,420.96