Finding the Third Proportional to 33,100 and 78,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,100 : 78,070.50 = 78,070.50 : x
2. Step 2: Convert to fraction form
   33,100/78,070.50 = 78,070.50/x
3. Step 3: Cross multiply
   33,100x = 78,070.50 × 78,070.50
4. Step 4: Simplify right side
   33,100x = 6,095,002,970.25
5. Step 5: Solve for x
   x = 6,095,002,970.25/33,100
6. Step 6: Final answer
   x = 184,139.06