Finding the Third Proportional to 31,549.50 and 69,662.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,549.50 : 69,662.25 = 69,662.25 : x
2. Step 2: Convert to fraction form
   31,549.50/69,662.25 = 69,662.25/x
3. Step 3: Cross multiply
   31,549.50x = 69,662.25 × 69,662.25
4. Step 4: Simplify right side
   31,549.50x = 4,852,829,075.06
5. Step 5: Solve for x
   x = 4,852,829,075.06/31,549.50
6. Step 6: Final answer
   x = 153,816.35