Finding the Third Proportional to 33,213 and 78,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,213 : 78,145.50 = 78,145.50 : x
2. Step 2: Convert to fraction form
   33,213/78,145.50 = 78,145.50/x
3. Step 3: Cross multiply
   33,213x = 78,145.50 × 78,145.50
4. Step 4: Simplify right side
   33,213x = 6,106,719,170.25
5. Step 5: Solve for x
   x = 6,106,719,170.25/33,213
6. Step 6: Final answer
   x = 183,865.33