Finding the Third Proportional to 31,553 and 69,506

Step by Step Solution

1. Step 1: Write the proportion equation
   31,553 : 69,506 = 69,506 : x
2. Step 2: Convert to fraction form
   31,553/69,506 = 69,506/x
3. Step 3: Cross multiply
   31,553x = 69,506 × 69,506
4. Step 4: Simplify right side
   31,553x = 4,831,084,036
5. Step 5: Solve for x
   x = 4,831,084,036/31,553
6. Step 6: Final answer
   x = 153,110.13