Finding the Third Proportional to 31,788 and 69,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,788 : 69,799.50 = 69,799.50 : x
2. Step 2: Convert to fraction form
   31,788/69,799.50 = 69,799.50/x
3. Step 3: Cross multiply
   31,788x = 69,799.50 × 69,799.50
4. Step 4: Simplify right side
   31,788x = 4,871,970,200.25
5. Step 5: Solve for x
   x = 4,871,970,200.25/31,788
6. Step 6: Final answer
   x = 153,264.45